Question

A cube has a surface area of 9,600 square meters. Find the volume of the cube.
please help :)

Answer 1

`V_(cube) = 64,000 \: {m}^(3)`

Explanation:

Surface area of cube

`= 6 {a}^(2) \\ (where \: a = side \: length \: of \: cube) \\ \\ \therefore \: 9600 = 6 {a}^(2) \\ \\ (9600)/(6) = {a}^(2) \\ \\ 1600 = {a}^(2) \\ \\ a = √(1600) \\ \\ a = 40 \: m \\ \\V_(cube) = {a}^(3) \\ \\ V_(cube) = {(40)}^(3) \\ \\ V_(cube) = 64,000 \: {m}^(3)`