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

January 13, 2021 | education

| 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.

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