Question

The water in a cubical tank of side 6 m is transferred to completely fill a cuboidal tank of length 2 m, breadth 3 m and height 'h' m. The height of the cuboidal tank (in metres) is ___

• A. 26 m
• B. 46 m
• C. 16 m
• D. 36 m

Answer 1

The correct option is D

36 m

Volume of a cube = ​(side)${}^3$

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

So height of cuboidal tank can be found by equating the volume of cube and volume of cuboid.

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

$\therefore \text{(}6{)}^3=2\times 3\times height$


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

$=\frac{6\times 6\times 6}{2\times 3}$

$\therefore$ height = 36 m