{"id":1554,"date":"2022-04-20T10:08:09","date_gmt":"2022-04-20T10:08:09","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1554"},"modified":"2024-04-02T08:25:40","modified_gmt":"2024-04-02T08:25:40","slug":"flat-surface-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface","title":{"rendered":"Flat Surface &#8211; 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\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%\">\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=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-40ac60ea-b34a-4b0a-8e66-3b97d79d3f62\" 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\/geometry\/flat-surface#0-what-is-a-flat-surface-in-geometry>What is a Flat Surface in Geometry?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface#2-different-types-of-surfaces>Different Types of Surfaces<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface#3-how-to-identify-flat-surfaces-in-3d-shapes>How to Identify Flat Surfaces in 3D Shapes<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface#6-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface#8-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">A wide range of geometry deals in flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles. Solid geometry deals with three-dimensional solid shapes that exist around us, such as spheres, cones, and cubes. The outer layer of an object we see around us is called the surface of an object. It has an area but no thickness. For example, the surface of a mirror is smooth. These solids have either flat or curved surfaces.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The surface of walls, floor, top of a table, or paper are examples of flat surfaces. And the surface of balls, eggs, or lemons is curved. Observe the examples of flat and curved surfaces in the figure below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"457\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/flat-surfaces-vs-curved-surfaces.png\" alt=\"Flat surfaces vs. Curved surfaces\" class=\"wp-image-41547\" title=\"Flat surfaces vs. Curved surfaces\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/flat-surfaces-vs-curved-surfaces.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/flat-surfaces-vs-curved-surfaces-300x221.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Let\u2019s explore the definition of flat surfaces and more.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-flat-surface-in-geometry\">What is a Flat Surface in Geometry?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">In geometry, a flat surface is also called a plane. Plane geometry deals in flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles. A plane or flat figure has two dimensions: length and width.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A solid or 3D shape is a shape that takes up space. The outer layer of a solid is called the surface of the solid. When the surface of a solid is a plane surface with no depths, in other words, flat, it is called a <strong>flat surface<\/strong>. We see many flat things in our surroundings every day. For instance, the surface of a book, table, or dresser can be flat.<\/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-flats-and-solids\" 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\/geometry_compare_flats_solids_pt.png\" alt=\"Compare Flats and Solids 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 Flats and Solids 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\/identify-curved-surface\" 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\/geometry_faces_curved_surface_pt.png\" alt=\"Identify Curved Surface 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\">Identify Curved Surface 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\/identify-shapes-on-the-basis-of-surfaces\" 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\/geometry_shapes_based_on_surfaces_pt.png\" alt=\"Identify Shapes on the basis of Surfaces 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\">Identify Shapes on the basis of Surfaces 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\/sort-flat-and-solid-shapes\" 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\/geometry_flats_solids_pt.png\" alt=\"Sort Flat and Solid Shapes 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\">Sort Flat and Solid Shapes 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-basic-terms-of-solid-or-3d-shapes\">Basic Terms of Solid or 3D Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A solid or 3D shape is a shape that takes up space. They consist of 3 dimensions, namely length, breadth, and height. They are all the things that we can hold. They are found in our day-to-day life. For example, your books and football are solid shapes.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Some features are standard across all the 3D shapes. These features include faces, edges, and vertices or corners.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/parts-of-a-solid-shape.png\" alt=\"Parts of a solid shape\" class=\"wp-image-41548\" title=\"Parts of a solid shape\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/parts-of-a-solid-shape.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/parts-of-a-solid-shape-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The surface of a solid, which are flat, is also called the face of the solid. The face of a solid can be any flat shape, such as squares, circles, triangles, and so on. An edge is the line segment where two faces of the solid meet. Two or more edges meet at a point called the vertex. A solid shape can have one or multiple surfaces. Let\u2019s study the different types of surfaces a solid shape can have.<\/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\/classify-shapes-as-flats-or-solids\" 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\/classify-shapes-as-flats-or-solids.jpeg\" alt=\"Classify Shapes as Flats or Solids 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\/identify-the-flat-shapes\" 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\/identify-the-flat-shapes.jpeg\" alt=\"Identify the Flat Shapes 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-different-types-of-surfaces\">Different Types of Surfaces<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are mainly two types of surfaces in a 3D shape: flat and curved surfaces.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">As the name suggests, the surfaces of a solid that are flat or plane are called flat surfaces. On the other hand, curved surfaces are rounded surfaces that are not flat. For example, a cone has one flat surface and a curved surface, as shown in the figure below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"371\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cone.png\" alt=\"A cone\" class=\"wp-image-41549\" title=\"A cone\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cone.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cone-300x179.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-to-identify-flat-surfaces-in-3d-shapes\">How to Identify Flat Surfaces in 3D Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">As we have read in the previous section, the surface of a solid can be flat or curved. The plane surface of a 3D shape is a plane figure, such as squares, circles, triangles, etc.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If we observe some 3D cubes, cuboids, pyramids, and prisms, we\u2019ll see that they consist of only flat or plane surfaces. 3D figures or shapes, like a cylinder or cone, are made of both flat and curved surfaces. Also, specific 3D shapes, like spheres, have no plane surfaces; they only have one curved surface. You can slide an object that has a plane surface. If an object has a curved surface, then you can roll them along its curved surface.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"500\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/examples-of-solid-shapes.png\" alt=\"Examples of solid shapes\" class=\"wp-image-41550\" title=\"Examples of solid shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/examples-of-solid-shapes.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/examples-of-solid-shapes-300x242.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A cube has six faces, which are identical squares. A cylinder has a curved surface and two equal circles as plane surfaces. A sphere is made of one curved surface.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-the-number-of-flat-surfaces-in-various-3d-solids\">The Number of Flat Surfaces in Various 3D Solids<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Look at the figure below. How many plane surfaces can you see?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"430\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cube.png\" alt=\"A cube\" class=\"wp-image-41551\" title=\"A cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cube.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/a-cube-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">The above figure is a cube with 6 plane surfaces or faces. Each face is a square. It has one face each on the top, bottom, front, back, and left and right sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The surfaces of some common solids are listed below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"549\" height=\"1024\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/surfaces-of-solid-shapes.png\" alt=\"Surfaces of Solid Shapes\" class=\"wp-image-41552\" title=\"Surfaces of Solid Shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/surfaces-of-solid-shapes.png 549w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/surfaces-of-solid-shapes-161x300.png 161w\" sizes=\"auto, (max-width: 549px) 100vw, 549px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-surface-area-of-3d-shapes\">Surface Area of 3D Shapes<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The surface area of a solid is <strong>the sum of the areas of each face. <\/strong>When finding the surface area of 3D figures, consider it as unfolding the shape or flattening it out. Then find the area of each plane surface.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The plane surfaces of a solid shape are basic 2D shapes, like squares, rectangles, triangles, parallelograms, circles, and so on. So, to find the surface area of a solid, we must know the area of the basic flat shapes. Here is a list of basic shapes and their area:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"618\" height=\"721\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-formula-of-basic-shapes.png\" alt=\"Area formula of basic shapes\" class=\"wp-image-41553\" title=\"Area formula of basic shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-formula-of-basic-shapes.png 618w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/area-formula-of-basic-shapes-257x300.png 257w\" sizes=\"auto, (max-width: 618px) 100vw, 618px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: How many faces does the following 3D shape have?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"229\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/triangular-prism.png\" alt=\"Triangular Prism\" class=\"wp-image-41554\" title=\"Triangular Prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/triangular-prism.png 311w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/04\/triangular-prism-300x221.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The flat or plane surfaces of a solid shape are called faces. The figure is a triangular prism. It has 2 triangular and 3 rectangular faces. So there are 5 faces in the 3D figure.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: What is the shape of each flat surface of a cylinder?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A cuboid has two flat or plane surfaces that are circular.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Each side of a cube measures 5 cm. Find the total area of its surfaces.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A cube has 6 flat square surfaces. Each side of a cube measures 5 cm, and then the area of each surface is $($5$ \\text{cm})^2$ $= 25$ cm\u00b2.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, the total surface area of a cube $= 6 \\times 25$ cm\u00b2$ = 150$ cm\u00b2<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Flat Surface - 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\">Which of the following shapes have only flat surfaces?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cuboid<\/div><div class=\"spq_answer_block\" data-value=\"1\">Cylinder<\/div><div class=\"spq_answer_block\" data-value=\"2\">Sphere<\/div><div class=\"spq_answer_block\" data-value=\"3\">Cone<\/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: Cuboid<br\/>A cuboid has 6 flat or plane surfaces and no curved surface. Cylinders and cones have at least one curved surface, while a sphere has all curved surfaces.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following 3D shapes have 1 flat and 1 curved surface?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cylinder<\/div><div class=\"spq_answer_block\" data-value=\"1\">Cone<\/div><div class=\"spq_answer_block\" data-value=\"2\">Sphere<\/div><div class=\"spq_answer_block\" data-value=\"3\">Pyramid<\/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: Cone<br\/>A cone has one flat and one curved surface. A cylinder has two flat surfaces. A sphere has all curved surfaces, and all the surfaces of a pyramid are flat.<\/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\">The flat surface of a solid is called __________?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Faces<\/div><div class=\"spq_answer_block\" data-value=\"1\">Edges<\/div><div class=\"spq_answer_block\" data-value=\"2\">Vertices<\/div><div class=\"spq_answer_block\" data-value=\"3\">Volume<\/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: Faces<br\/>The flat or plane surface of a solid is called a face.<\/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\": \"Flat Surface - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Flat Surface\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following shapes have only flat surfaces?\",\n                    \"text\": \"Which of the following shapes have only flat surfaces?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A cuboid has 6 flat or plane surfaces and no curved surface. 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A sphere has all curved surfaces, and all the surfaces of a pyramid are flat.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Sphere\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A cone has one flat and one curved surface. A cylinder has two flat surfaces. 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A sphere has all curved surfaces, and all the surfaces of a pyramid are flat.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The flat surface of a solid is called __________?\",\n                    \"text\": \"The flat surface of a solid is called __________?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The flat or plane surface of a solid is called a face.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Edges\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The flat or plane surface of a solid is called a face.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Vertices\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The flat or plane surface of a solid is called a face.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Volume\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The flat or plane surface of a solid is called a face.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Faces\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The flat or plane surface of a solid is called a face.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The flat or plane surface of a solid is called a face.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-1a6dbe86-aa65-4c09-9f15-d3323f879acd\" 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-0-1a6dbe86-aa65-4c09-9f15-d3323f879acd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1a6dbe86-aa65-4c09-9f15-d3323f879acd\"><strong>What is the difference between the surface area and volume of a cube?<\/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-0-1a6dbe86-aa65-4c09-9f15-d3323f879acd\">\n\n<p>The surface area of a cube is the region occupied by the cube&#8217;s surface, whereas the volume is the measurement of space available in the cube.<\/p>\n\n\n\n<p>The surface area of a cube $= 6 \\times $(length)$^2$<\/p>\n\n\n\n<p>The volume of a cube $=$ length$^2$<\/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-1-1a6dbe86-aa65-4c09-9f15-d3323f879acd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1a6dbe86-aa65-4c09-9f15-d3323f879acd\"><strong>Are polygons flat?<\/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-1-1a6dbe86-aa65-4c09-9f15-d3323f879acd\">\n\n<p>Yes, polygons are two-dimensional closed-plane shapes with straight sides. All the plane shapes are flat.<\/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-2-1a6dbe86-aa65-4c09-9f15-d3323f879acd\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1a6dbe86-aa65-4c09-9f15-d3323f879acd\"><strong>Is the plane a flat surface?<\/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-2-1a6dbe86-aa65-4c09-9f15-d3323f879acd\">\n\n<p>Yes, a plane is a flat, two-dimensional surface. It extends infinitely in every direction.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>A wide range of geometry deals in flat shapes that you can draw on a piece of paper, such as squares, circles, and triangles. Solid geometry deals with three-dimensional solid shapes that exist around us, such as spheres, cones, and cubes. The outer layer of an object we see around us is called the surface &#8230; <a title=\"Flat Surface &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/flat-surface\" aria-label=\"More on Flat Surface &#8211; 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-1554","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\/1554","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=1554"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1554\/revisions"}],"predecessor-version":[{"id":41555,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1554\/revisions\/41555"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1554"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1554"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1554"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}