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?

Answer 1

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.