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

Given,

Length of cuboid,$l=60cm$,

Breadth of cuboid,$b=54cm$

Height of cuboid, $h=30cm$

Side of cube=$6cm$

To Find out

We have to find out how many small cubes can be placed in the given cuboid

Solution

Volume of Cuboid$=lengthxbreadthxheight=60cmx54cmx30cm=97200c{m}^3$

Volume of Cube $={\left(side\right)}^3={\left(6cm\right)}^3=216c{m}^3$

Number of small cubes that can be placed inside given cuboid

$$\begin{gathered} =\frac{VolumeofgivenCuboid}{VolumeofoneCube} \\ =\frac{97200}{216} \\ =450 \end{gathered}$$

Hence,$450$ small cubes can be placed inside given cuboid.