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?

b

OOOO

Approx. 2266 boxes

Impossible to solve the question

Exactly 1133 boxes

Approx. 1.33 boxes

c

d

in progress 0
RuslanHeatt 4 years 2021-08-11T07:18:55+00:00 1 Answers 7 views 0

Answers ( )

  1. Neala
    0
    2021-08-11T07:20:11+00:00
    Reply

    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.

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