{"id":2056,"date":"2022-04-26T06:32:27","date_gmt":"2022-04-26T06:32:27","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2056"},"modified":"2024-04-02T04:42:19","modified_gmt":"2024-04-02T04:42:19","slug":"scale-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale","title":{"rendered":"Scale \u2013 Definition, Facts, Examples, FAQs, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-5e21936f-7c15-4d70-b2a4-2e72f99161ac\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale#0-what-is-a-scale-factor->What is a Scale Factor?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale#1-how-does-the-scale-factor-work>How Does the Scale Factor Work?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale#8-solved-examples-on-scale>Solved Examples on Scale<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale#9-practice-problems-on-scale>Practice Problems on Scale<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale#10-frequently-asked-questions-on-scale>Frequently Asked Questions on Scale<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">Have you ever observed how you can look at a map and it will tell you the exact location of a place? What would you do if you did not have a map? Well, you might have to fly high above the ground and see which way leads to your destination! But you don\u2019t have to. Do you see how a builder takes the blueprint of a house and turns it into a real thing?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">All of this is possible because of the mathematical concept of the scale factor. The scale factor can be described as a parameter that is used to enlarge or reduce the sizes of shapes in two-dimensional and three-dimensional geometry. It can be used to create similar figures but with different dimensions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-scale-factor-\">What is a Scale Factor?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2. The new figure we get will be similar to the original figure, but all its dimensions will be twice that of the original <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" title=\"\">rectangle<\/a>. Here, the number 2 will be called the scale factor.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"410\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scale-factor.png\" alt=\"Example of Scale Factor\" class=\"wp-image-41392\" title=\"Example of Scale Factor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scale-factor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scale-factor-300x198.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Note that the scale factor only changes the dimension or side lengths of shapes but does not change the angle measures.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/analyze-scaled-data\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/data_analyze_scaled_data_pt.png\" alt=\"Analyze Scaled Data Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Analyze Scaled Data Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/read-and-compare-scaled-data\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/data_read_scaled_data_1_pt.png\" alt=\"Read and Compare Scaled Data Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Read and Compare Scaled Data Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/read-scaled-data\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/data_read_scaled_data_2_pt.png\" alt=\"Read Scaled Data Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Read Scaled Data Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-how-does-the-scale-factor-work\">How Does the Scale Factor Work?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When describing enlargement, it is necessary to mention how much the shape has been enlarged. For example, scale factor 3 means that the new shape is thrice the size of the original shape.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If the scale factor is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" title=\"\">fraction<\/a>, the shape will be smaller. This is called reduction. Therefore, a 1\/2 scaling factor means that the new shape is half of the original shape.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/scale-the-product-using-fraction-multiplication\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/scale-the-product-using-fraction-multiplication.jpeg\" alt=\"Scale the Product using Fraction Multiplication Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-do-you-find-the-scale-factor\">How Do You Find the Scale Factor?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The scale factor can be figured out by specifying the new and original dimensions.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Scale Factor $=$ Dimension of New Shape\/Dimension of Original Shape<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">However, there are two terms you need to understand when using scaling factors: scaling up and scaling down. Look at the figures below to understand this better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-scale-up\">Scale Up<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Scale up means enlarging a small shape into a large one. The scale factor for upscaling is always greater than 1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"401\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-up.png\" alt=\"Example of Scaling Up\" class=\"wp-image-41393\" title=\"Example of Scaling Up\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-up.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-up-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-scale-down\">Scale Down<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Scale down means that a large number is reduced to a small number. The scale factor for scaling down is always less than 1.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"377\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-down.png\" alt=\"Example of Scaling down\" class=\"wp-image-41394\" title=\"Example of Scaling down\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-down.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/example-of-scaling-down-300x182.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-uses-of-the-scale-factor\">Uses of the Scale Factor<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Scaling objects is a great way to visualize large real-world objects in a small space or magnify small objects to make them easier to see!<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The scale factor is used to do the following:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Draw a similar figure in geometry.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Create a scale model.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Create blueprints and scale plans for machinery and architecture.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Shrink vast lands into small pieces of paper, like a map.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Help architects, machine-makers, and designers work with models of objects that are too large to hold if they are their actual size.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-scale-on-a-graph\">Scale on a Graph<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s learn about \u2018scale\u2019 on a graph and some important related terms.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Data<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Data is the collected facts. We often need to find things such as:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The population of a town<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Number of students in a school<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Sales of a particular product during a week<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Likings of people, etc<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">In such cases, we collect data. We read and interpret the collected data to make sense of it. One of the ways of showing the processed data is through graphs.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A graph is a visual representation of data.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Some common graphs are:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/types-of-graphs.png\" alt=\"types of graphs\" class=\"wp-image-41395\" title=\"types of graphs\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/types-of-graphs.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/types-of-graphs-300x148.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We use a scale to measure or quantify objects. Let us understand what a scale is with the help of a pictograph.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-pictograph.png\" alt=\"a pictograph\" class=\"wp-image-41396\" title=\"a pictograph\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-pictograph.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-pictograph-300x226.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The above pictograph shows the information for the favorite musical instrument of children. Can you tell how many children like Guitar or Drum or Keyboard?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol.png\" alt=\"Smile Symbol\" class=\"wp-image-41397\" title=\"Smile Symbol\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol.png 500w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol-300x300.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/smile-symbol-120x120.png 120w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>What does 1 symbol represent?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Well, it can be of any value. But unless and until we don\u2019t show it on the graph, we won\u2019t be able to tell the exact number of people. In such cases, we use a scale.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/scale-of-a-pictograph.png\" alt=\"scale of a pictograph\" class=\"wp-image-41398\" title=\"scale of a pictograph\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/scale-of-a-pictograph.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/scale-of-a-pictograph-300x226.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now, we know, 1 represents 5 children. So, now we can say, 15 children like guitar, 10 like the drum and 20 like the keyboard.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In simple words, a scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Let us now move on to a bar graph. We use the same data of \u201cFavourite Musical Instrument\u201d to plot a Bar graph.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"513\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-vertical-bar-graph.png\" alt=\"A vertical bar graph\" class=\"wp-image-41399\" title=\"A vertical bar graph\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-vertical-bar-graph.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-vertical-bar-graph-300x226.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Here, the vertical axis (y \u2212 axis) shows the number of children and the horizontal axis (x \u2212 axis) shows the musical instruments.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">On the y-axis, the numbers are marked at intervals of 5. This indicates that the scale used for the graph is 1 unit is 5 children.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">The distance between two numbers indicates a unit and this unit remains uniform throughout a scale. Thus, a scale plays a crucial part in plotting graphs. Without scales, we won\u2019t be able to infer anything relevant from the graph.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-fun-fact\">Fun Fact<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>A scale on a graph can have any unit as required to solve the problem.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-solved-examples-on-scale\">Solved Examples on Scale<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1. Find the scale factor when a square of side 4 cm is enlarged to make a square of side 8 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The formula for scale factor is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Scale Factor $=$ Dimensions of New Shape\/Dimension of Original Shape<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the scale factor for the given enlargement is<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Scale Factor $= 8\/4$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Scale Factor $= 2$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Hence, the square has been enlarged by a scale factor of 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2. A triangle with side lengths of 3 cm, 4 cm, and 5 cm has been enlarged by a scale factor of 4. What are the dimensions of the new triangle?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Dimensions of the new shape $=$ Scale factor $\\times$ Dimensions of original shape<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the dimensions of the new triangle will be 4 times the original.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the new dimensions are 12 cm, 16 cm, and 20 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3. If a circle of radius 3 cm was reduced to a circle of radius 1 cm, what is the scale factor for this reduction?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: We know that,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Scale Factor = Dimension of new shape\/Dimension of original shape<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Radius of original circle $= 3$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Radius of new circle $= 1$ cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the scale factor for this reduction $= 1\/3$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-practice-problems-on-scale\">Practice Problems on Scale<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is a Scale Factor - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">If a cube of edge length 12 cm is enlarged to create a cube of edge length 36 cm. What is the scale factor?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">3<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">5<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">If a sphere of radius 20 cm is reduced to create a sphere of radius 5 cm, what is the scale factor for this reduction?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{1}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{1}{5}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{4}$<br\/>We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $\\frac{20}{5}$ = 4 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If a square of side 5 cm is enlarged by a scale factor 2, what are the dimensions of the new square?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">1\/5 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">10 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 2 cm<br\/>Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">If a cuboid of dimensions 6 cm, 9 cm, and 12 cm is reduced by a scale factor of $\\frac{1}{3}$, what will be its new dimensions?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2, 3, 4 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">8, 12, 16 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">4, 6, 8 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">6, 9, 12 cm<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 2, 3, 4 cm<br\/>We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $\\frac{1}{3}$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"What is a Scale Factor - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"What is a Scale Factor\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If a cube of edge length 12 cm is enlarged to create a cube of edge length 36 cm. What is the scale factor?\",\n                    \"text\": \"If a cube of edge length 12 cm is enlarged to create a cube of edge length 36 cm. What is the scale factor?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Scale Factor = Dimension of New Shape\/Dimension of Original Shape<br>\r\nEdge length of original cube = 12 cm,<br>\r\nEdge length of new cube = 36 cm.<br>\r\nSo, the scale factor for this enlargement = 3\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If a sphere of radius 20 cm is reduced to create a sphere of radius 5 cm, what is the scale factor for this reduction?\",\n                    \"text\": \"If a sphere of radius 20 cm is reduced to create a sphere of radius 5 cm, what is the scale factor for this reduction?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that\r\nScale Factor = Dimension of new shape\/Dimension of original shape\r\nRadius of original sphere = 20 cm,\r\nRadius of new sphere = 5 cm.\r\nSo, the scale factor for this reduction = $$\\\\frac{20}{5}$$ = 4 cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If a square of side 5 cm is enlarged by a scale factor 2, what are the dimensions of the new square?\",\n                    \"text\": \"If a square of side 5 cm is enlarged by a scale factor 2, what are the dimensions of the new square?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\/5 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"2 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Dimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new square will be 2 times the original.<br>\r\nSo, the side of the new square will be 10 cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If a cuboid of dimensions 6 cm, 9 cm, and 12 cm is reduced by a scale factor of $$\\\\frac{1}{3}$$, what will be its new dimensions?\",\n                    \"text\": \"If a cuboid of dimensions 6 cm, 9 cm, and 12 cm is reduced by a scale factor of $$\\\\frac{1}{3}$$, what will be its new dimensions?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8, 12, 16 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4, 6, 8 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6, 9, 12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"2, 3, 4 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We know that,<br>\r\nDimensions of new shape= Scale factor \u2715 Dimensions of original shape<br>\r\nTherefore, the dimensions of the new cuboid will be $$\\\\frac{1}{3}$$ times the original.<br>\r\nSo, the dimensions of the new cuboid will be 2cm, 3 cm, 4 cm.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-frequently-asked-questions-on-scale\">Frequently Asked Questions on Scale<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-c29737fd-486e-4e63-ac17-e0415fd9e087\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-c29737fd-486e-4e63-ac17-e0415fd9e087\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c29737fd-486e-4e63-ac17-e0415fd9e087\"><strong>How is a scale factor calculated?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-c29737fd-486e-4e63-ac17-e0415fd9e087\">\n\n<p class=\"eplus-wrapper\">The formula for calculating the scale factor is:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Scale Factor $=$ Dimensions of new shape\/Dimension of original shape<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-c29737fd-486e-4e63-ac17-e0415fd9e087\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c29737fd-486e-4e63-ac17-e0415fd9e087\"><strong>How can we use the scale factor in real-life situations?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-c29737fd-486e-4e63-ac17-e0415fd9e087\">\n\n<p class=\"eplus-wrapper\">The scale factor can be used in the following ways:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">To compare two 2D\/<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\" title=\"\">3D geometric figures<\/a><\/li>\n\n\n\n<li class=\"eplus-wrapper\">To calculate ratios and proportions<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To measure drawings of the same shape but with different dimensions<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To transform the sizes in engineering and architectural fields<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-c29737fd-486e-4e63-ac17-e0415fd9e087\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-c29737fd-486e-4e63-ac17-e0415fd9e087\"><strong>What is a scale drawing?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-c29737fd-486e-4e63-ac17-e0415fd9e087\">\n\n<p class=\"eplus-wrapper\">A scale drawing is an exact drawing of the object created using the scale factor to reduce or increase the dimensions of the original object.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Have you ever observed how you can look at a map and it will tell you the exact location of a place? What would you do if you did not have a map? Well, you might have to fly high above the ground and see which way leads to your destination! But you don\u2019t have &#8230; <a title=\"Scale \u2013 Definition, Facts, Examples, FAQs, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scale\" aria-label=\"More on Scale \u2013 Definition, Facts, Examples, FAQs, Practice Problems\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2056","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2056","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=2056"}],"version-history":[{"count":20,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2056\/revisions"}],"predecessor-version":[{"id":41400,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2056\/revisions\/41400"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}