Question

Find the maximum numbers of cubes of side $2cm$ that can be placed inside a cuboid of dimensions $16cm\times 12cm\times 6cm$.

Answer 1

From given values,

Volume of cuboid $=16\times 12\times 6=1152{cm}^3$

Volume of cube $=2^3=8{cm}^3$

Therefore,

No. of cubes that can be placed inside the cuboid

$=\frac{\text{Volume of cuboid}}{\text{Volume of cube}}=\frac{1152}{8}=144$

Hence $144$ cubes can be placed inside the cuboid.