The surface area of the cube is 24 cm 2. Find the length of the edge of the cube and the volume.

First, we find the area of one face of the cube. The cube has 6 faces with the same area.
We divide the area of the entire surface of the cube by the number of faces.
24 cm2 / 6 = 4 cm2.
The area of a square can be found using the formula:
S = a ^ 2.
From it we find the length of the edge of the cube:
a = √ S = √ 4 cm2 = 2 cm.
We find the volume of the cube by the formula:
V = a ^ 3.
V = (2 cm) ^ 3 = 8 cm3.
Answer: The length of the edge of a cube is 2 centimeters, the volume is 8 cubic centimeters.