Question

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

• A. 10 m
• B. 20 m
• C. 30 m
• D. 40 m

Answer 1

The correct option is B

20 m

Volume of a cube = ​(side)${}^3$

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

In this case Volume of the cube = Volume of the cuboid

So height of the cuboidal tank can be found by equating the two

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

$\therefore \text{(}10{)}^3=5\times 10\times height$

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

$\therefore$ Height = 20m