# The surface area of a cube is 96 cm2. how many cubic centimeters are there in the volume of the cube?a. 6b.16c.32d. 64

2
by menckin

2014-03-21T14:07:38+08:00
The surface area of a cube is given by the formula:

The variable "a" being the length of the edges.

Whereas, the volume of a cube is given by

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

Taking the square root of both sides, we get:

So, a=4 cm.

Now, we will use this value of a to get the volume.

Taking the cube, we get:

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.
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.