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

already occupied in the container?

b

OOOO

Approx. 2266 boxes

Impossible to solve the question

Exactly 1133 boxes

Approx. 1.33 boxes

c

d

Answer 1

Volume of big box :

`V=10* 15* 50\ ft^3\\\\V=7500\ ft^3`

Volume of small box :

`v=15* 15* 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=(7365* 12^3)/(5625)\\\\n=2262.528`

Therefore, the number of boxes are approximately 2266.

Hence, this is the required solution.