Question

The volume of a cube is numerically equal to its surface area. Find the length of its edge.

Answer 1

Let the edge length of the cube be a units.
Volume
$= {a}^{3}$
Total Surface Area(as Surface area is equal to total Surface area)
$= 6 {a}^{2}$
According to question,
${a}^{3} = 6 {a}^{2} \\ a = 6$

Answer 2

$surface \: area = 6 {a }^{2} \\ volume = {a}^{3} \\ {a}^{3 } = 6 {a}^{2} \\ a = 6units$
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