The surface area of the cube is 54 cm2. What is the volume of this cube?

The surface area of a cube is 54 centimeters squared. What is the volume of this cube?
S = 6a * a
V = a * a * a
V – cube volume
S – area of a cube
a – the length of the cube face
We know that S = 54 cm, we can find out the length of the cube face:
a * a = S / 6 = 54/6 = 9, hence a = 3 cm
Now we can determine the volume of the cube:
V = 3 * 3 * 3 = 27 cm cube
Answer: the volume of the cube is 27 cm cube