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21 February, 17:59

What happens to the volume of a cube if each dimension is tripled?

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  1. 21 February, 18:17
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    Let s represent the measure of one edge of a cube. The volume is then s^3 and the surface area is 6s^2. If you triple the measure of the edges, then each edge would measure 3s, so the volume would be (3s) ^3 = 27s^3 which is 27 times larger than the original cube. The surface area of the larger cube would be 6 (3s) ^2 = 6 x 9s^2 which is 9 times larger than the original cube.
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