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
$\sqrt{150} = \sqrt{ {s}^{2} }$
$\sqrt{25} \times \sqrt{6} = s$
$5 \sqrt{6} = s$
So each side is
$5 \sqrt{6} \: cm \: long$
The volume (V) of a cube is:
$v = {s}^{3} = (5\sqrt{6})^{3} = {12.247}^{3} \\ = 1837 \: {cm}^{2}$