Question

When 32 litres of water is added, 50% of a cubical aquarium is filled. The height of the aquarium is cm.

• A. 40
• B. 35
• C. 50

Answer 1

The correct option is A 40

50% of the aquarium is filled with 32 litres of water.
$\therefore$ 100% of the aquarium would be filled if 32 litres of more water is added.

Total capacity of aquarium $=32+32=64l$

We know that
$64l$ = $64000c{m}^3$

Volume of a cube $=a\times a\times a$
$64000=40\times 40\times 40\Rightarrow a=40$

For a cube, all the sides are equal.
Therefore, the height of the aquarium would be $40cm$.