# The size of a mat

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

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