Question

A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.

Answer 1

Given external dimensions of cuboid are

`l=25cm, b=18cm,h=15cm.`

∴External volume =`lxxbxxh`

`=25xx18xx15cm^2`

`=6750cm^2`

Internal dimension of cuboid.

`l=25-2xx"thickness"=25-4=21cm.`

`h=15-4=11cm.`

internal volume = l x b x h

`=21xx14xx11cm^3`

`=3234cm^3`

∴Volume of liquid that can be placed =`3234cm^3`

Now, volume of wood = external volume – Internal volume

`=6750-3324`

`=3516 cm^3`