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?

Answer 1

Explanation:

First we need to find the volume of the box and the container

Volume of the box = LWH

= 15×15×25

Volume of the box = 5625in³

Volume of the container = (10×15×50)ft³

= 7500ft³

If 135ft³ is already occupied in the container, the remaining portion will be 7500-135 = 7365ft³

Converting to cubic inches

7365ft³ = 7365×(12×12×12)in³

Note that 1ft = 12in

7365ft³ = 12,726,720in³

Number of 5625in³ boxes that will fill 12,726,720in³ will be expressed as 12,726,720in³/5625in³

= 2262.528

≈ 2263boxes