Question

The surface area of a cube is 864cm2.find its volume​

Answer 1

Answer:

surface area of cube = 6a²

=> 864 = 6a²

=> a² = 864/6 = 144

=> a = √144 = 12 cm

now,

volume of cube = side ³

= 12³

= 1728cm³

Answer 2

$Given,\\ Surface \: area \: of \: cube = 864 \: {cm}^{2} \\ = > 6 {a}^{2} = 864 \\ = > {a}^{2} = \frac{864}{6} \\ = > {a}^{2} = 144 \\ = >a = \sqrt{144} \\ = > a = 12 \:cm$

$So,\: Side \: of \: cube \: is \: 12cm \\\\ Volume \: of \: cube \\ = {side}^{3} \\ = {12}^{3} \\ = 1728 \: {cm}^{3}$

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