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

$\text{Outer length of the closed wooden box (l)}=25cm$

$\text{Breadth (b)}=18cm$

$\text{and height (h)}=15cm$

$\text{Width of wood}=2cm$

$\therefore \text{Inner length}=25-2\times 2=25-4=21cm$

$\text{Breadth}=18-2\times 2=18-4=14cm$

$\text{and height}=15-2\times 2=15-4=11cm$

$\text{Now outer volume}=25\times 18\times 15c{m}^3=6750c{m}^3$

$\text{and inner volume}=21\times 14\times 11c{m}^3=3234c{m}^3$

$\text{(i) Volume of liquid that can be placed = Inner volume}=3234c{m}^3$

$\text{(ii) Volume of wood}=6750-3234=3516c{m}^3$