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

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

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So given the dimensions of cuboid 60 cm \times 54 cm \times 30 cm hence it's the volume is equal to = 97,200cm^3

We have to make small cubes with side 6cm which occupies the volume  = 6cm\times 6cm\times 6cm = 216cm^3

Hence we have now one cube having side length = 6cm volume = 216cm^3.

So, total numbers of small cubes that can be placed in the given cuboid = \frac{97,200}{216} =450

Hence 450 small cubes can be placed in that cuboid.

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