Question

What is the maximum number of cuboids of dimension $2cm\times 3cm\times 1cm$, that can be accommodated in a cuboid of dimension $6cm\times 12cm\times 4cm$?

• A. 48

Answer 1

The correct option is A 48
Volume of the large cuboid is
$l\times b\times h=6\times 12\times 4=288c{m}^3$

The volume of the small cuboid is
$l\times b\times h=2\times 3\times 1=6c{m}^3$

Therefore, the maximum number of small cuboids that can be fit inside the large cuboid = $\frac{288}{6}$ = 48