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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 \(s=3\) -> \(s^3=27\).

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.

Answer: B
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