Question

How many (15in by 15in by 25in) boxes will fill a container (10ft by 15ft by 50ft) box provided 135cubit ft. of space is

Answer 1

Volume of big box :

$V=10\times 15\times 50\ ft^3\\\\V=7500\ ft^3$

Volume of small box :

$v=15\times 15\times 25\ inch^3\\\\v=5625\ inch^3$

Space left in big box :

V' = V - 135

V' = 7500 - 135 ft³

V' = 7365 ft³

No of boxes that can fit :

$n=\dfrac{7365\times 12^3}{5625}\\\\n=2262.528$

Therefore, the number of boxes are approximately 2266.

Hence, this is the required solution.