Question:
Find the volume of wood used to make a closed box of outer dimensions 60 cm × 45 cm × 32 cm, the thickness of wood being 2.5 cm all around.
Solution:
External length $=60 \mathrm{~cm}$
External width $=45 \mathrm{~cm}$
External height $=32 \mathrm{~cm}$
External volume of the box $=60 \times 45 \times 32=86400 \mathrm{~cm}^{3}$
Thickness of wood $=2.5 \mathrm{~cm}$
$\therefore$ Internal length $=60-(2.5 \times 2)=55 \mathrm{~cm}$
Internal width $=45-(2.5 \times 2)=40 \mathrm{~cm}$
Internal height $=32-(2.5 \times 2)=27 \mathrm{~cm}$
Internal volume of the box $=55 \times 40 \times 27=59400 \mathrm{~cm}^{3}$
Volume of wood $=$ External volume $-$ Internal volume $=86400-59400=27000 \mathrm{~cm}^{3}$