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


7