<span>SA=3750c<span>m<span>2
</span></span></span>
The volume of a cube is determined by the formula
<span>V=<span>s3</span></span> 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 <span>A=<span>s2</span></span>. Therefore the total surface area of a cube will be the area of a square multiplied by six (faces).
<span>SA=6<span>s2</span></span>
Solving for the length of edge (side):
<span>V=<span>s3</span></span>
<span>s=<span>3<span>√V</span></span>=<span>3<span>√<span>15625c<span>m3</span></span></span></span></span>
<span>s=25cm</span>
Solving for the surface area:
<span>SA=6<span>s2</span>=6<span><span>(25cm)</span>2</span></span>
<span>SA=3750c<span>m<span>2</span></span></span>