Answers

2014-03-21T14:07:38+08:00
The surface area of a cube is given by the formula:
Surface Area=6a^2
The variable "a" being the length of the edges.

Whereas, the volume of a cube is given by
Volume=length*width*height=a*a*a=a^3

Therefore, we could solve for a from the given value of the surface area, 96 sq. cm.

96cm^2=6a^2
 \frac{96}{6}cm^2=a^2
16cm^2=a^2

Taking the square root of both sides, we get:
 \sqrt{16cm^2} =\sqrt{a^2}
4cm=a

So, a=4 cm. 

Now, we will use this value of a to get the volume.
Volume=a^3=(4cm)^3

Taking the cube, we get:
Volume=64 cm^3
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2014-03-21T18:13:58+08:00
The volume of a cube is (s^2)6; this is the formula. So, the area of it is 96 cm^2, right? So multiply it by 6, and the volume of it is 576 cm^3. There's no answer on your choices.
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I'm pretty sure I answered the question sufficiently. The volume of a cube is a^3. You can check it on other sources. And the given is surface area, not area.