Question

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

Answer 1

Volume of the cuboid $=L\times B\times H$

volume of the cuboid $=60\times 54\times 30$

volume of the cuboid $=97200c{m}^3$

volume of the cube $=a^3$

volume of the cube $=6\times 6\times 6$

volume of the cube $=216c{m}^3$

No of cubes that can be fitted $=\frac{\text{volume of cuboid}}{\text{volume of cube}}$

$=\frac{97200}{216}$$=450$