The volume of a cube is $3375\, cm^{3}$. Find its edge and total surface area.

(N/A) Let the edge of the cube be $a$. The volume of a cube is given by $V = a^{3}$.
Given $a^{3} = 3375\, cm^{3}$.
Taking the cube root of both sides,$a = \sqrt[3]{3375} = 15\, cm$.
The total surface area of a cube is given by $TSA = 6a^{2}$.
$TSA = 6 \times (15)^{2} = 6 \times 225 = 1350\, cm^{2}$.
Thus,the edge is $15\, cm$ and the total surface area is $1350\, cm^{2}$.