Question

The water in a cubical tank (whose dimensions are 10 m) is transferred to completely fill a cuboidal tank of length 5m, breadth 10 m, and height h. Then, the height of the cuboidal tank (in metres) is ___

Answer 1

Volume of cube = (side)${}^3$

Volume of cuboid = (length) $\times$ (breadth) $\times$ (height)

The volume of the water remains the same regardless of the container it is in. Volume of the cube = Volume of the cuboid.

So, the height of the cuboidal tank can be found by equating both the volumes.

Volume of the cube = Volume of the cuboid

(side)${}^3$ = (length) $\times$ (breadth) $\times$ (height)

$\therefore \text{height}=\frac{{\text{side}}^3}{\text{length}\times \text{breadth}}$

$=\frac{{10}^3}{5\times 10}$

$\therefore$ Height = 20 m