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# If the volume of a cube is v, what is the surface area of th

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If the volume of a cube is v, what is the surface area of th [#permalink]  20 Sep 2017, 01:46
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100% (00:50) correct 0% (00:00) wrong based on 4 sessions

If the volume of a cube is v, what is the surface area of the cube in terms of v?

A. $$6 \sqrt{V}$$

B. $$(\sqrt{V})^3$$

C. $$6 * (\sqrt{V})^3$$

D. $$(\sqrt[3]{V})^2$$

E. $$6 * (\sqrt[3]{V})^2$$
[Reveal] Spoiler: OA

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Re: If the volume of a cube is v, what is the surface area of th [#permalink]  24 Sep 2017, 14:19
Carcass wrote:
If the volume of a cube is v, what is the surface area of the cube in terms of v?

We know Volume of Cube = $$(side)^3$$

Therefore, Volume = V = $$(side)^3$$

or Side =$$(\sqrt[3]{V})^2$$

Now Surface Area of cube = $$6*(side)^2$$

= $$6*(\sqrt[3]{V})^2$$

i.e option E
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Re: If the volume of a cube is v, what is the surface area of th   [#permalink] 24 Sep 2017, 14:19
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