Question

A cube has a surface area of 900 cm what is the number of cubic cm in the volume of the cube

Answer 1

SA = 900cm^2
SA = 6×(s^2), where "s" is one side or edge of each square surface face
900 = 6s^2
150 = s^2

`√(150) = \sqrt{ {s}^(2) }`

`√(25) * √(6) = s`

`5 √(6) = s`
So each side is

`5 √(6) \: cm \: long`
The volume (V) of a cube is:

`v = {s}^(3) = (5√(6))^(3) = {12.247}^(3) \\ = 1837 \: {cm}^(2)`