Question

The dimension of metallic cuboid are $100cm\times 80cm\times 64cm$. It is method and recast into a cube. find the surface area of the cube.

Answer 1

Let Volume of cube $=a^3$

After melting the volume will be same $=100\ast 80\ast 64=2^3\ast 4^3\ast {10}^3$

Equating,

$a^3=2^3\ast 4^3\ast {10}^3\Rightarrow a=80cm$

Surface Area of Cube will be $=6\ast 80=480c{m}^2$