Question

A closed box is made up of wood which is lcm thick. The outer dimensions of the box is
5 cm x 4 cm x 7 cm. Find the volume of the wood used.​

Answer 1

Answer:

Given, outer length =5 cm

Outer breadth =4 cm

Outer height =7 cm

$\sf{Outer \ volume=length×breadth×height}$

$\sf{=5×4×7=140cm^{3}}$

$\sf{Thickness \ of \ wooden \ box, w=1 cm}$

$\sf{Inner \: length =l-2w=5-2=3 cm}$

$\sf{Inner \ breadth =b-2w=4-2=2 cm}$

$\sf{Inner \ height =h-2w=7-2=5 cm}$

$\sf{Inner \ volume =3×2×5=30cm^{3}}$

$\sf{Volume \ of \ wood \ used = outer \ volume - inner \ volume}$

$\sf{=140-30=110cm^{3}}$