A cube has a surface area of 486 square meters.

Find the volume of the cube.

Question

Adriana Mckee

Mathematics

10 March, 09:51

A cube has a surface area of 486 square meters.

Find the volume of the cube.

+1

Answers (2)

Know the Answer?

Savanna Snow · 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

Reese Lucas · Answer 2

486/6=81

Square root 81 = one side length = 9m

volume = 9^3 = 729

A cube has a surface area of 486 square meters.Find the volume of the cube.

A cube has a surface area of 486 square meters.

Find the volume of the cube.