Question

A milk container is $8cm$ long and $50cm$ wide. What should be its height so that it can hold $4$ litres of milk?

Answer 1

Length of the cuboidal milk container$=8cm$
Breadth$=50cm$
Let $hcm$ be the height of the container.
It is given that the container can hold $4L$ of milk.
i.e., volume$=4L$
$=4\times 1000c{m}^3$
$=4000c{m}^3$ (Since, $1L=1000c{m}^3$)
Now, volume of the container$=$length$\times$breadth$\times$height
$\Rightarrow 4000=8\times 50\times h$
$\Rightarrow 4000=400\times h$
$\Rightarrow h=\frac{4000}{400}$
$=10cm$
Therefore, the height of the milk container is $10cm$.