Question

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

Answer 1

Dimensions of cuboid $=60\times 54\times 30c{m}^3$
Volume of cuboid $=97,200c{m}^3$

Side length of cube $=6cm$
Volume of cube $=6\times 6\times 6c{m}^3$
$=216c{m}^3$

Number of cubes that can be placed inside the cuboid $\left(N\right)$
$=\frac{\text{Volume of cuboid}}{\text{Volume of cube}}$

$N=\frac{97,200}{216}$
$N=450$