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Find the edge length of a cube if the surface area is 96cm^2?
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The total surface area is 6 times the surface area of each face, that is: \[A = 6 * l^2\] Where A is the total surface area and l is the side length of the cube. Now: \[A = 6 * l^2 = 96 cm^2\]So rearranging the formula gives: \[l = \sqrt{\frac{96}{6}}\]To give an answer of \[l = \sqrt{16} = 4\]
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