Question

The water in a cubical tank of side 10 m is transferred to completely fill a cuboidal tank of length 5m and breadth 10m and height h. Find the height of the cuboidal tank (in metres).

• A. 10 m
• B. 30 m
• C. 20 m
• D. 15 m

Answer 1

The correct option is C 20 m

Volume of a cube = ​(side)${}^3$
$\therefore \text{volume of the cuboidal tank}=10\times 10\times 10=1000m^3$

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

So height of cuboidal tank can be found by
$\text{height}=\frac{\text{volume}}{\text{length}\times \text{breadth}}$

$=\frac{1000}{5\times 10}$

$\therefore$ Height = 20 m.