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

June 30, 2021 | education

| 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

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