Question

A cuboid measures $36m\times 24m\times 18m$. How many cubes of edge $6$ m can be cut from the cuboid?

• A. $72$
• B. $144$
• C. $36$
• D. $288$

Answer 1

The correct option is A $72$

Given, $l=36m$, $b=24m$ and $h=18m$.

Volume of cuboid $=l\times b\times h$

$=36\times 24\times 18=15552m^3$.

Given, $a=6m$.

Volume of cube $=a^3$

$=6\times 6\times 6=216m^3$.

Let the number of cubes be $x$.

Then,

$\Rightarrow 216\times x=15552$

$\Rightarrow x=\frac{15552}{216}$

$\Rightarrow x=72$.

Therefore, $72$ cubes can be cut.

Hence, option $A$ is correct.