Question

What is the maximum number of rectangular blocks measuring 2 by 3 by 4 that can

fit into a box measuring 12 by 21 by 40?

Answer 1

Volume of small box :

`v=l* b* h\\\\v=2* 3* 4\\\\v=24\ units^3`

Volume of big box :

`V=L* B* H\\\\V=12* 21* 40\\\\V=10080\ units^3`

Number of small boxes that can fit into bigger box :

`n=(V)/(v)\\\\n=(10080)/(24)\\\\n=420`

Therefore , 420 such boxes can fit .

Hence , this is the required solution .