Question

A cuboid measures 36 m by 24 m by 18m. How many cubes of edge of 6 m can be cut frim the cuboid​

Answer 1

Volume of Cuboid=36×24×18=15552 m
3

Volume of the cube with side 6 m is=6×6×6=216 m
3

Let the number of cubes be x
⇒216×x=15552
⇒x=
216
15552
​

⇒x=72

Answer 2

Step-by-step explanation:

$numbers \: of \: cubes = \frac{volume \: of \: cuboid}{volume \: of \: cube} \\ = \frac{l \times b \times h}{ {a}^{3} } \\ = \frac{36 \times 24 \times 18}{ {6}^{3} } \\ = \frac{15552}{216} \\ = 72$

So total 72 cubes of edges 6 cm each can be cut out.

I hope it will help you.