Question

An oil can is in the shape of cuboid.the length of the can is 35cm and breadth is 20cm.what should be its height to hold 14 litres of oil​

Answer 1

Given,

An oil can is in the shape of cuboid.

The length of the can/cuboid is 35cm.

The breath of the can/cuboid is 20cm.

Volume of oil is 14 liters.

Then,the height of the can/cuboid = ?

It is given that volume of oil = 14 liters

We know that,

$1 \: liter = 1000 {cm}^{3}$

$14 \: liters = 14000 {cm}^{3}$

Now, let the height of the can/cuboid be 'h'.

Volumeof cuboid = length(l) ×breadth(b) ×height(h)

$14000 {cm}^{3} = 35 \times 20 \times h$

$14000 {cm}^{3} = 700 \times h$

$h = \frac{14000}{700}$

$h = 20cm$

Therefore the height of the can/cuboid is 20cm.

Verification:

volume of cuboid = l×b×h

$14000 {cm}^{3} = 35cm \times 20cm \times 20cm$

$14000 {cm}^{3} = 14000 {cm}^{3}$