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What is the length of an edge of a cube whose total surface ...

What is the length of an edge of a cube whose total surface area is X cm² and whose total surface area is $\frac{X}{2}$ cm³?

A.

3

B.

6

C.

9

D.

12

View answer & explanation

Correct answer is A

Total surface area of cube = 6s²

6s² = x

s² = x = $\frac{x}{6}$ .....(1)

volume of a cube = s² = $\frac{x}{2}$

s² = $\frac{x}{2}$ ......(2)

put(1) into (2)

s( $\frac{x}{6}$ ) = $\frac{x}{2}$

s = $\frac{x}{2} \times \frac{6}{x}$

= 3cm

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