Question

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

• A. 10 m
• B. 20 m
• C. 5 m
• D. 15 m

Answer 1

The correct option is B 20 m

Given,
Solid conversion: Cube to Cuboid
Cube: Side of cube, $a=10\text{m}$
Cuboid: length, $l=5\text{m}$
Breadth, $b=10\text{m}$
Height, $h$

Volume of cube $=a^3$
Volume of cuboid $=l\times b\times h$

The volume will be equal.
$\therefore a^3=lbh{10}^3=5\times 10\times hh=\frac{{10}^3}{5\times 10}$

$\therefore$ Height, $h=20\text{m}$