{"id":41532,"date":"2022-10-01T14:39:31","date_gmt":"2022-10-01T09:09:31","guid":{"rendered":"https:\/\/examdays.com\/blog\/?p=41532"},"modified":"2022-10-01T14:39:33","modified_gmt":"2022-10-01T09:09:33","slug":"surface-area-of-a-cube","status":"publish","type":"post","link":"https:\/\/examdays.com\/blog\/surface-area-of-a-cube\/","title":{"rendered":"Surface Area of a Cube Formula Definition Solved Examples"},"content":{"rendered":"\n<p class=\"has-drop-cap\">The surface area of \u200b\u200ba cube is also known as the total area covered by the whole sides of a given cube. Some examples of cubes are Rubik&#8217;s cubes, sugar cubes, ice cubes, dice, etc. A cube&#8217;s edge describes the length, width, and height connected at the vertices. Six faces of a cube are squares, and the cube&#8217;s length, width, and height are equal. <\/p>\n\n\n\n<p>The area of \u200bthe surface is the cube, the sum of the areas of all the faces of the cube that cover it. The formula for surface area is six times the length of the sides of a squared cube. This is denoted by 6a2, where a is the cube&#8217;s side length. It is the total surface area. Also, learn about the volume of a cube. When a cube is placed in a three-dimensional space, the area occupied by the sides of the cube in that space is called the surface area of \u200b\u200bthe cube.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Surface Area of Cube<\/h2>\n\n\n\n<p>By definition of the surface area of \u200b\u200ba given cube, if the total surface area is equal to the sum of the areas for all the faces of the cube. Since a cube has six faces, the entire surface area of \u200b\u200bthe cube is equal to the sum of all six faces of a cube.<\/p>\n\n\n\n<p>So, the surface of the cube is square. Therefore, the area of \u200b\u200beach face of a cube is equal to the square of the edge.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Thus, the area of one face = a2\u00a0\u00a0<\/li><li>\u00a0total six faces of the cube.\u00a0<\/li><li>Therefore TSA of cube is = a2 + a2 + a2 + a2 + a2 +a2<\/li><li>TSA of a cube is = 6a2<\/li><\/ul>\n\n\n\n<p>A cube has an &#8216;n&#8217; number of square units. Hence the area covered by these square units on the cube&#8217;s surface is the surface area. Cube has six faces.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Surface Area of a Cube Formula:<\/h3>\n\n\n\n<p>From the definition of the cube we discussed above, we know that a cube has 6 square faces. Consider a cube whose edge length is denoted by the letter &#8216;a&#8217;.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>From the formula area of \u200b\u200bsquare = side2 = a2, we know.<\/li><li>Total surface area cube formula = six \u00d7 (area of \u200b\u200beach side)<\/li><li>= 6 \u00d7 a2 = 6a2 square unit.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">What is the Surface Area of Cube?<\/h2>\n\n\n\n<p>Surface area is a sum of the area of \u200b\u200bthe bases and the area of \u200b\u200bthe lateral surfaces of the cube. All six faces of a cube are made up of squares of the exact dimensions; a cube&#8217;s total surface area is six times the surface area of \u200b\u200bone face. It is measured as a &#8220;number of square units&#8221;. There are two types of the surface area of \u200b\u200ba cube. The units of the surface area of \u200b\u200ba cube and the total surface area of \u200b\u200ba cube are measured in square units, i.e., m2, cm2, etc. A cube has two types of surface area.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Total Surface Area of Cube<\/li><li>Lateral Surface Area of Cube<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Total Surface Area of Cube Formula<\/h3>\n\n\n\n<p>The surface area of \u200b\u200bthe cube refers to the area of \u200b\u200ball sides of the cube. To find the cube&#8217;s total surface area, the sum of the areas of all sides is required. The lateral area is the area of \u200b\u200ba square. The total surface area of \u200b\u200bthe cube is 6 square meters giving the total surface area of \u200b\u200bthe cube.<\/p>\n\n\n\n<p><strong><u>Lateral Surface Area of Cube<\/u><\/strong><\/p>\n\n\n\n<p>The lateral surface of a cube represents the area of \u200b\u200bits lateral sides; The base and top of the cube are not included when solving for the lateral surface area of \u200b\u200bthe cube. A cube has four lateral sides of a side square. So, the area of \u200b\u200bthe square is four times the lateral surface area of \u200b\u200bthe cube.<\/p>\n\n\n\n<p><strong>What is the formula for the surface area of a cuboid?<\/strong><\/p>\n\n\n\n<p>If l is the length, b is the breadth, and h is the height of the cuboid;<\/p>\n\n\n\n<p>Lateral surface area of the cuboid formula = 2h(l+b)<\/p>\n\n\n\n<p>The total surface area of the cuboid formula = 2(lb+bh+lh)<\/p>\n\n\n\n<p><strong><u>Conclusion<\/u><\/strong><\/p>\n\n\n\n<p>Learn how the formula is derived from the properties of a cube and used to calculate its surface area. Focus on how this principle is used in the solved examples to understand the concept better.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The surface area of \u200b\u200ba cube is also known as the total area covered by the whole sides of a &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Surface Area of a Cube Formula Definition Solved Examples\" class=\"read-more button\" href=\"https:\/\/examdays.com\/blog\/surface-area-of-a-cube\/#more-41532\" aria-label=\"Read more about Surface Area of a Cube Formula Definition Solved Examples\">Read more<\/a><\/p>\n","protected":false},"author":16,"featured_media":41546,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[13659],"tags":[16261,16262,16263,16267,16260,16265,16264,16266],"class_list":["post-41532","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics","tag-lateral-surface-area-of-a-cube","tag-lateral-surface-area-of-cuboid","tag-surface-area-formula","tag-surface-area-of-a-cube","tag-surface-area-of-a-cube-calculator","tag-surface-area-of-a-cuboid","tag-surface-area-of-cylinder","tag-volume-and-surface-area-of-a-cube","resize-featured-image"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Surface Area of a Cube Formula Definition Solved Examples<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/examdays.com\/blog\/surface-area-of-a-cube\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Area of a Cube Formula Definition Solved Examples\" \/>\n<meta property=\"og:description\" content=\"The surface area of \u200b\u200ba cube is also known as the total area covered by the whole sides of a ... 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