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# The surface area of a cube is A square meters and the volume of that

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
The surface area of a cube is A square meters and the volume of that  [#permalink]

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29 Aug 2017, 23:51
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15% (low)

Question Stats:

92% (01:26) correct 8% (01:39) wrong based on 55 sessions

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The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V, what is the volume of the cube, in cubic meters?

A. 8
B. 27
C. 64
D. 125
E. 216

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Re: The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 00:10
Bunuel wrote:
The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V, what is the volume of the cube, in cubic meters?

A. 8
B. 27
C. 64
D. 125
E. 216

6s^2 = A
s^3 = V

A=2V
6s^2 = 2s^3
3 = s
V = 27
B
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Re: The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 00:28
4*X^2=2*x^3
4/2=x^3/x^2
x=2
2^3=8
A is correct

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Re: The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 00:42
Bunuel wrote:
The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V, what is the volume of the cube, in cubic meters?

A. 8
B. 27
C. 64
D. 125
E. 216

- Surface area of cube = $$6*(s^2)=A$$.
- Volume of cube = $$s^3=V$$.
- Since $$A = 2V$$, so $$6s^2=2*(s^3)$$ -> simplify, we get $$s=3$$.
- Volume of cube with $$s=3$$ -> $$s^3=27$$.

B.
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The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 00:43
mrmortezajafari wrote:
4*X^2=2*x^3
4/2=x^3/x^2
x=2
2^3=8
A is correct

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mrmortezajafari

If the one that I highlighted is the formula of surface area of the cube, then incorrect.
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The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 00:51
1
Bunuel wrote:
The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V, what is the volume of the cube, in cubic meters?

A. 8
B. 27
C. 64
D. 125
E. 216

Assuming cube to have side of x

Volume is x^3=V--------------------1
Surface area is 6x^2=A-------------2

Given A=2V

Substituting from 1 &2

2(x^3)=6x^2

Hence x=3
Volume = 27

Hence B.

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Re: The surface area of a cube is A square meters and the volume of that  [#permalink]

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30 Aug 2017, 03:19
A=6a^2;
V=a^3
V=A/2
a=6/2=3;
Volume =27
Ans:B
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Re: The surface area of a cube is A square meters and the volume of that  [#permalink]

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02 Sep 2017, 07:10
Bunuel wrote:
The surface area of a cube is A square meters and the volume of that cube is V cubic meters. If A=2V, what is the volume of the cube, in cubic meters?

A. 8
B. 27
C. 64
D. 125
E. 216

We can create the equation in which s = the length of an edge of the cube. Recall that the surface area of a cube is the area of the six (equal) faces: 6s^2. The volume of the cube is s^3. Thus, we have:

6s^2 = 2(s^3)

3s^2 = s^3

3 = s

So, the volume of the cube is 3^3 = 27.

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Re: The surface area of a cube is A square meters and the volume of that   [#permalink] 02 Sep 2017, 07:10
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