The size of a matchbox is 4 cm x 2.5 cm x 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 x 84 cm x 60 cm?
We know that,
Volume of cuboid = Length × Breadth × Height
Firstly, we have to find out volume occupied by a single matchbox
Volume occupied by a single matchbox = (4 × 2.5 × 1.5)
= 15 cm3
Now,
Volume of a packet containing 144 matchboxes = (15 × 144)
= 2160 cm3
Also,
Volume of carton = (150 × 84 × 60)
= 756000 cm3
Therefore,
Total number of packets that can be placed in a carton =
=
= 350 packets