Find the volume of a cube if its surface area is 96 cm.

The surface area of a cube is equal to the sum of the areas of all its faces. We know that a cube has 6 faces and they are all equal to each other. Let’s find the value of the area of one face:
1) 96: 6 = 16 cm2 – the area of one face.
The area of one face is found as a2, where a is the length of the edge of the cube. Let’s calculate what is equal to a:
2) a2 = 16
a = 4 cm – the length of the edge of the cube.
The volume of a cube is equal to the product of its length x width x height. Since they are equal in the cube, the volume is calculated as the length of the edge in the third power:
3) V = a3 = 4 * 4 * 4 = 64 cm3 – cube volume.
Answer: The volume of the cube is 64 cm3.