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?
Solution and Explanation
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 = \(\frac{\text{volume of cuboid }}{\text{ volume of cube}}\)
\(= \frac{97200}{216}\)
\(= 450\)
Hence, the required number of cubes is 450.
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