Question

The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box is made of 2-cm-thick wood, find the capacity of the box.

Answer 1

External length = 62 cm
External width = 30 cm
External height = 18 cm

∴ External volume of the box$=62\times 30\times 18=33480c{m}^3$

Thickness of the wood = 2 cm

Now, internal length $=62-(2\times 2)=58$ cm
Internal width $=30-(2\times 2)=26$ cm
Internal height $=18-(2\times 2)=14$ cm

∴ Capacity of the box = internal volume of the box$=(58\times 26\times 14)c{m}^3=21112c{m}^3$