Question

A cylindrical bucket of height 18cm, had $1200c{m}^3$ of water.

This water was used to fill a cuboid having base dimensions 8cm x 10cm. After filling the cuboid, 6 cm of water still remained in the cylindrical bucket, find the height of the cuboidal box.

• A. $12cm$
• B. $9cm$
• C. $10cm$
• D. $8cm$

Answer 1

The correct option is C

$10cm$

volume of cube = volume of water filled

Height of water used = 18 - 6 = 12 cm [as 6 cm remained after filling the cuboid]

Volume of water filled in the cuboid = $\frac{2}{3}\times 1200=800c{m}^3$

Volume of cuboid = $l\times b\times h$

$\Rightarrow h=\frac{800c{m}^3}{l\times b}$

$\Rightarrow h=\frac{800c{m}^3}{8\times 10}$

$\Rightarrow h=\frac{800c{m}^3}{80}$

$\Rightarrow h=10cm$