Question

A metal cube of side $5cm$ is melted and cast into a cuboid whose base is $2.5cm\times 0.5cm.$ Then the height of the cuboid is ___ $cm$.

Answer 1

Let the height of the cuboid be $h$

Volume of the cuboid formed $=$ Volume of the cube melted

$\Rightarrow 2.5\times 0.5\times h=5^3$

$\Rightarrow h=\frac{5\times 5\times 5}{2.5\times 0.5}=100cm$