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