Surface area

The volume of a sphere given its radius $\large r$ is given by the formula: $\large V_s=\dfrac{4}{3}\pi r^3$ .

Substituting, we get

$\large V_s=\dfrac{4}{3}(3.14)(12^3)=7234.56~in^3$

The volume of a cube is given by the formula: $\large V_c=a^3$ where $\large a$ = side length of the cube

Since the sphere and the cube have the same volume, we get $\large a^3=7234.56$ , it follows that $\large a=\sqrt[3]{7234.56}$ .

The surface area of the cube is given by the formula: $\large A_s=6a^2$ .

Substituting, we get

$\large A_s=6(\sqrt[3]{7234.56})^2=2244~in^2$