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

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?

in progress 0
Khang Minh 4 years 2021-08-11T07:15:51+00:00 1 Answers 10 views 0

Answers ( )

  1. thienan
    0
    2021-08-11T07:17:04+00:00
    Reply

    Answer:

    Step-by-step 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

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