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Question

A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many can small cubes with side 6 cm be placed in the given cuboid?

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Solution

Given:
Length of cuboid (l) = 60 cm
Breadth of cuboid (b) = 54 cm
Height of cuboid (h) = 30 m

We know that, volume of cuboid = l×b×h=60×54×30 cm2
And volume of cube = (side)3=6×6×6 cm3
Number of small cubes=Volume of cuboidVolume of cube=60×54×306×6×6=450
Hence, the number of required cubes are 450.

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