The volume of a cube is determined by the formula
V=s3 where s is the measurement of each edge.
Since cube has six square faces, each of the faces will have the area of a square which we know to be A=s2. Therefore the total surface area of a cube will be the area of a square multiplied by six (faces).
SA=6s2
Solving for the length of edge (side):
V=s3
s=3√V=3√15625cm3
s=25cm
Solving for the surface area:
SA=6s2=6(25cm)2
SA=3750cm2