The size of a matchbox is 4 cm × 2.5 cm × 1.5 cm. What is the volume of a packet containing 144 matchboxes?
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?
Solution:
Volume occupied by a single matchbox $=(4 \times 2.5 \times 1.5)=15 \mathrm{~cm}^{3}$
Volume of a packet containing 144 matchboxes $=(15 \times 144)=2160 \mathrm{~cm}^{3}$
Volume of the carton $=(150 \times 84 \times 60)=756000 \mathrm{~cm}^{3}$
Total number of packets is a carton $=\frac{\text { Volume of the carton }}{\text { Volume of a packet }}=\frac{75600}{2160}=350$ packets
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