{"id":2058,"date":"2022-04-26T06:36:50","date_gmt":"2022-04-26T06:36:50","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2058"},"modified":"2024-01-30T05:03:30","modified_gmt":"2024-01-30T05:03:30","slug":"scaling-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling","title":{"rendered":"Scaling \u2013 Definition with Examples"},"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-fddb701c-714d-4a92-be02-7980bb7f37cf\" 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\/scaling#0-what-is-scaling-in-math>What is Scaling in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling#1-what-is-a-scale-factor>What is a Scale Factor<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling#2-types-of-scaling>Types of Scaling<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">Can you draw a tree that is 87.6 feet tall on a piece of paper?<br><br>Obviously not. We would need a jumbo-sized piece of paper, and that still won\u2019t help us. So, what would be the easiest way to draw a tree on a piece of paper? Scaling, of course!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-scaling-in-math\">What is Scaling in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">You must be wondering what does scaling mean in Math? Scaling is a procedure through which we draw an object that is proportional to the actual size of the object. Scaling in geometry means that we are either enlarging or shrinking figures so that they retain their basic shape. When we scale figures, they are known as similar figures.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"380\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/similar-rectangles.png\" alt=\"Similar rectangles\" class=\"wp-image-36808\" title=\"Similar rectangles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/similar-rectangles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/similar-rectangles-300x184.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the above example of scaling, the two rectangles are similar because their basic shapes are the same even if one is smaller and the other is larger. In order to <em>scale images<\/em>, we need <em>a<\/em> scale.<\/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\/compare-the-result-of-scaling\" 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\/fractions_compare_scaling_pt.png\" alt=\"Compare the Result of Scaling 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\">Compare the Result of Scaling 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-what-is-a-scale-factor\">What is a Scale Factor<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Scale is the ratio to represent the relation between the dimensions of a model or scaled figure and the corresponding dimensions of the actual figure or an object. Scale factor, on the other hand, is a number by which all the components of an object are multiplied in order to create an enlarged or reduced figure. Scale and scale factor are mostly used in blueprints that are used for the construction of buildings.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">To draw real-world objects on a piece of paper, we need a scale to describe our measurements accurately. For example, a scale of 1:10 means that the size of 1 unit in the drawing would represent 10 units in the real world. For example, if a lion is of height 50 inches in the real world and is represented as 5 inches on the drawing, it shows that a scale of 1:10 has been used.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"414\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-and-drawn-lion.png\" alt=\"Scale for Real and Drawn Lion\" class=\"wp-image-36809\" title=\"Scale for Real and Drawn Lion\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-and-drawn-lion.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-and-drawn-lion-300x200.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The scale factor can be calculated if the dimensions of the original figure and the dimensions of the increased or decreased figures are known.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale = Dimensions of the new shape : Dimensions of the original shape<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale Factor = Dimensions of the new shape <\/strong><strong>Dimensions of the original shape<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, if a wall is supposed to be constructed to 120 inches high in the real world and represented as 10 inches in the blueprint, the scale will be 10:120 or 1:12, whereas the scale factor will be $\\frac{1}{12}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"326\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-world-object-and-blueprint.png\" alt=\"Scale for real-world object and blueprint\" class=\"wp-image-36811\" title=\"Scale for real-world object and blueprint\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-world-object-and-blueprint.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scale-for-real-world-object-and-blueprint-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/fraction-multiplication-as-scaling\" 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\/fraction-multiplication-as-scaling.jpeg\" alt=\"Fraction Multiplication as Scaling 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/multiplication-as-scaling-using-fractions\" 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\/multiplication-as-scaling-using-fractions.jpeg\" alt=\"Multiplication as Scaling using Fractions 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/understand-fraction-multiplication-as-scaling\" 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\/understand-fraction-multiplication-as-scaling.jpeg\" alt=\"Understand Fraction Multiplication as Scaling 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/use-fraction-multiplication-as-scaling\" 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\/use-fraction-multiplication-as-scaling.jpeg\" alt=\"Use Fraction Multiplication as Scaling 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-types-of-scaling\">Types of Scaling<\/h2>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"3-1-scale-up\">1. Scale up<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">We scale up when we want to enlarge a smaller figure to a bigger one. In other words, when the size of the figure is increased, it means it has scaled up. When we scale up, the scale factor can be calculated using the following formula:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale Factor = Dimensions of the new shape <\/strong><strong>Dimensions of the original shape<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale up factor = Larger figure dimensions \u00f7 Smaller figure dimensions<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We prefer to scale up when the object is very small. For example, we have to draw a butterfly on a piece of paper in order to study its parts. Since the butterfly is small in size, we would prefer to scale it up, as shown below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"278\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-up-image-of-butterfly.png\" alt=\"Scaled up image of Butterfly\" class=\"wp-image-36812\" title=\"Scaled up image of Butterfly\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-up-image-of-butterfly.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-up-image-of-butterfly-300x135.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Scale factor = $\\frac{12}{3}=4\\gt1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As shown in the above example, the scale factor to scale up is always greater than 1. Let us look at one more example: If the dimension of the larger figure is 18 and that of the smaller one is 6, we get the scale factor: 18 \u00f7 6 = 3, which is also greater than 1. Here, the smaller figure is called preimage and the enlarged figure is called image.<\/p>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"4-2-scale-down\">2. Scale down<\/h3>\n\n\n\n<p class=\"eplus-wrapper\">We scale down when we want to reduce a bigger figure to a smaller one. In this case, the scale factor can be calculated using the following formula:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale Factor = Dimensions of the new shape <\/strong><strong>Dimensions of the original shape<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale down factor = Smaller figure dimensions \u00f7 Larger figure dimensions<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, we have to construct a bedroom of size 180 inches by 168 inches. We need to draw its blueprint first to set up the furniture, like bed, nightstands, etc. So, we will scale down the bedroom to 15 inches by 14 inches.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"551\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-down-image-of-bedroom.png\" alt=\"Scaled Down image of Bedroom\" class=\"wp-image-36813\" title=\"Scaled Down image of Bedroom\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-down-image-of-bedroom.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/scaled-down-image-of-bedroom-300x267.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Scale factor = $\\frac{15}{180}=\\frac{1}{12}\\lt1$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As shown in the above example, the scale factor to scale down is always less than 1. Let us take one more example: If the dimension of the smaller figure is 6 and that of the larger one is 24, let us place this in the formula, which makes it: 6 \u00f7 24 = 1\/4. Here, the larger figure is called preimage and the contracted figure is called image.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1. <\/strong><strong>There are two similar pentagons given below. Find the scale factor.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"183\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/similar-pentagons.png\" alt=\"Similar Pentagons\" class=\"wp-image-36814\" title=\"Similar Pentagons\"\/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Scale Factor = $\\frac{2}{40}=\\frac{1}{20}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2. <\/strong><strong>What will be the height of the actual object if the height of the contracted figure is 4 units and the scale is 1:25?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: $\\frac{Scaled height}{Actual height}=\\frac{1}{25}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{4}{Actual height}=\\frac{1}{25}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Actual height = $4\\times25$ = 100 units<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3. What is the scale formula if an image has to be enlarged?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: If we have to enlarge or scale up an image, the scale factor, which is denoted by k, is more than 1, i.e., k &gt; 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Scale Factor = Dimensions of the new shape <\/strong><strong>Dimensions of the original shape<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>The scale factor formula =&nbsp; Larger figure dimensions \u00f7 Smaller figure dimensions<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Scaling in Math \u2013 Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What will be the scale factor if the smaller rectangle is resized to the bigger rectangle with the given dimensions?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-2-8.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">13<\/div><div class=\"spq_answer_block\" data-value=\"1\">26<\/div><div class=\"spq_answer_block\" data-value=\"2\">14<\/div><div class=\"spq_answer_block\" data-value=\"3\">1\/13<\/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: 13<br\/>Scale factor = $\\frac{26}{2}$ = 13<\/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 k = 1, which of the following is true?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">The actual size of the image is greater than the scaled size.<\/div><div class=\"spq_answer_block\" data-value=\"1\">The actual size of the image is less than the scaled size.<\/div><div class=\"spq_answer_block\" data-value=\"2\">The actual size and scaled size are equal.<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: The actual size and scaled size are equal.<br\/>Since k = 1, actual size = scaled size.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">A cube of dimensions 8 units by 12 units by 16 units was decreased by a scale factor of 1\/4 . Find the new dimensions of the cube.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">32 units by 48 units by 64 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">12 units by 16 units by 20 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">1 unit by 2 units by 3 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">2 units by 3 units by 4 units<\/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 units by 3 units by 4 units<br\/>The new dimensions will be:$8\\times\\frac{1}{4};12\\times\\frac{1}{4};16\\times\\frac{1}{4}$ = 2 units by 3 units by 4 units<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n      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bigger rectangle with the given dimensions? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-2-8.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Scale factor = $$\\\\frac{26}{2}$$ = 13\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"26\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Scale factor = $$\\\\frac{26}{2}$$ = 13\"\n                                    }\n                                }, {\n                                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\"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"13\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Scale factor = $$\\\\frac{26}{2}$$ = 13\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Scale factor = $$\\\\frac{26}{2}$$ = 13\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If k = 1, which of the following is true?\",\n                    \"text\": \"If k = 1, which of the following is true?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Since k = 1, actual size = scaled size.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The actual size of the image is greater than the scaled size.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since k = 1, actual size = scaled size.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"The actual size of the image is less than the scaled size.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since k = 1, actual size = scaled size.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Since k = 1, actual size = scaled size.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"The actual size and scaled size are equal.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Since k = 1, actual size = scaled size.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Since k = 1, actual size = scaled size.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A cube of dimensions 8 units by 12 units by 16 units was decreased by a scale factor of 1\/4 . Find the new dimensions of the cube.\",\n                    \"text\": \"A cube of dimensions 8 units by 12 units by 16 units was decreased by a scale factor of 1\/4 . 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It is used in maps to represent the actual figures in smaller units. For example, a scale of 1:5 means 1 on the map represents the size of 5 in the real world.&nbsp;<\/p>\n\n\n\n<p>Scale factor, on the other hand, is a number that is used to increase or decrease the size of a figure. For example, if a triangle needs to be increased in size using a scale factor of 3, and the sides of the triangle are a, b, and c, then the new sides of the triangle will be 3a, 3b, and 3c.<\/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-1-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\"><strong>What happens if the scale factor is less than 1?<\/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-1-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\">\n\n<p>If the scale factor is less than 1 (k &lt;1), then the new figure will have smaller dimensions as compared to the original figure.<\/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-2-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\"><strong>When do we use scaling?<\/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-2-3bee17e4-b9fe-467c-b1b6-ea073155ebc1\">\n\n<p>Scaling is used when the size of any geometrical figure or shape or an object can be changed with respect to its original size. When things are too large, we use scale factors to calculate smaller measurements. When things are too small, we use scale factors to calculate bigger measurements.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Can you draw a tree that is 87.6 feet tall on a piece of paper? Obviously not. We would need a jumbo-sized piece of paper, and that still won\u2019t help us. So, what would be the easiest way to draw a tree on a piece of paper? Scaling, of course! What is Scaling in Math? &#8230; <a title=\"Scaling \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/scaling\" aria-label=\"More on Scaling \u2013 Definition with Examples\">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-2058","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\/2058","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=2058"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2058\/revisions"}],"predecessor-version":[{"id":37831,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2058\/revisions\/37831"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2058"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2058"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2058"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}