Question

A cuboidal vessel is $10m$ long and $8m$ wide. How high must it be made to hold $192m^3$ of liquid?

Answer 1

Given: Length of cuboidal vessel, $l=10m$

Width of cuboidal vessel, $b=8m$

Volume of cuboidal vessel, $H=80m^3$

Let the height of the cuboidal vessel be ${}^{\prime }{h}^{\prime }$

Volume of cuboidal vessel $=l\times b\times h$

$h=\frac{H}{l\times b}$

$\Rightarrow h=\frac{80}{10\times 8}$

$\Rightarrow h=1m$