Question

A cuboidal petrol tank is $30$ cm long, $30$ cm wide and $1m$ $60cm$ high. It has petrol upto a height of $40cm$. How much more cubic cm of petrol can the tank contain?

Answer 1

Given cuboidal tanks having,

Length(l)$=30$cm

Breadth(b)$=30$cm

Height(h)$=1$m $60$cm

$=100cm+60cm$

$=160$cm

Given, Cuboidal tank already has petrol till height $40$cm.

To find: $c{m}^3$ of $v_{more}$ petrol that tanks can contain.

Sol: Volume of max petrol that tanks can contain$=\left(Totalvolumeoftank\right)-\left(volumeofcuboidaltanktakingheight40cm\right)$

[using formula $\to$ Volume of cuboidal$=l\times b\times h$]

We get,

Required volume$=\left[\right(30\times 30\times 160)-(30\times 30\times 40\left)\right]c{m}^3$

$=30\times 30[160-40]c{m}^3$

$=30\times 30\times 120c{m}^3$

$=108000c{m}^3$.