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Question
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?
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Solution
Volume of cuboid = 60 cm × 54 cm × 30 cm = 97200 cm3
Side of the cube = 6 cm
Volume of the cube = (6)3 cm3 = 216 cm3
Required number of cubes = `"Volume of the cuboid"/"Volume of the cube"`
`(60 xx 54 xx 30 cm^3)/(6 xx 6 xx 6 cm^3)`
= 450 cm.
Thus, 450 cubes can be placed in the given cuboid.
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