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.