Question

The size of a matchbox is 4 cm × 2.5 cm × 1.5 cm. What is the volume of a packet containing 144 matchboxes? How many such packets can be placed in a carton of size 1.5 m × 84 cm × 60 cm?

Answer 1

Volume occupied by a single matchbox$=(4\times 2.5\times 1.5)=15c{m}^3$

Volume of a packet containing 144 matchboxes $=(15\times 144)=2160c{m}^3$

Volume of the carton$=(150\times 84\times 60)=756000c{m}^3$

Total number of packets is a carton$=\frac{\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{carton}}{\mathrm{Volume}\mathrm{of}\mathrm{a}\mathrm{packet}}=\frac{75600}{2160}=350$ packets