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

1 answer

Let the length of one side of the cube be x.

The surface area of the cube is given by 6x^2, so we know that:

6x^2 = 54

Simplifying, we divide both sides by 6:

x^2 = 9

Taking the square root of both sides:

x = 3

Therefore, the length of one side of the cube is 3 yards.

The volume of a cube is given by V = x^3, so:

V = 3^3 = 27

The volume of the cube is 27 cubic yards.