Question

A cube has a surface area of 486 square meters.

Find the volume of the cube.

Answer 1

The surface area of a cube is:

A=6s^2 so we can say:

s=√(A/6)=(A/6)^(1/2)

The volume of a cube is:

V=s^3, using s found above we have:

V=(A/6)^(1/2)^3

V=(A/6)^(3/2), and A=486 so

V=(486/6)^(3/2)

V=81^(3/2)

V=729 m^3

Answer 2

486/6=81
Square root 81 = one side length = 9m
volume = 9^3 = 729