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# If a cube has the same volume (in cubic units) as surface area (in squ

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
If a cube has the same volume (in cubic units) as surface area (in squ  [#permalink]

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17 Sep 2018, 01:51
00:00

Difficulty:

25% (medium)

Question Stats:

69% (00:36) correct 31% (00:23) wrong based on 15 sessions

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If a cube has the same volume (in cubic units) as surface area (in square units), what is the length of one side?

(A) 1

(B) 3

(C) 5/3

(D) 6

(E) No such cube is possible

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Re: If a cube has the same volume (in cubic units) as surface area (in squ  [#permalink]

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17 Sep 2018, 01:58
1
Bunuel wrote:
If a cube has the same volume (in cubic units) as surface area (in square units), what is the length of one side?

(A) 1

(B) 3

(C) 5/3

(D) 6

(E) No such cube is possible
.

Volume of cube = $$a^3$$

Surface area of cube = $$6a^2$$.

$$a^3 = 6a^2$$

$$a^3 - 6a^2 = 0$$

$$a^2 *(a - 6) = 0$$

$$a =0 or a =6$$.

$$a= 0$$ not possible.
Hence $$a = 6$$ is the ans.

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Re: If a cube has the same volume (in cubic units) as surface area (in squ   [#permalink] 17 Sep 2018, 01:58
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