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A godown measures 40 m×25m×15 m. Find the maximum number of wooden crates each measuring 1.5m×1.25 m×0.5 m that can be stored in the godown. Q.7

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Yesterday i was doing the question from class 9th ncert book of math of Surface areas and Volumes chapter of exercise 13.5    What is the easiest way for solving it because i was not able to do this question please help me for solving this question no.7 A godown measures 40 m×25m×15 m. Find the maximum number of wooden crates each measuring 1.5m×1.25 m×0.5 m that can be stored in the godown.

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  1. From statement, we have

    Length of the godown = 40 m

    Breadth = 25 m

    Height = 15 m

    Whereas,

    Length of the wooden crate = 1.5 m

    Breadth = 1.25 m

    Height = 0.5 m

    Since godown and wooden crate are in cuboidal shape. Find the volume of each using formula, V = lbh.

    Now,

    Volume of godown = (40×25×15) m3 = 15000 m3

    Volume of a wooden crate = (1.5×1.25×0.5) m3 = 0.9375 m3

    Let us consider that, n wooden crates can be stored in the godown, then

    The volume of n wooden crates = Volume of godown

    0.9375×n =15000

    Or n= 15000/0.9375 = 16000

    Hence, the number of wooden crates that can be stored in the godown is 16,000.

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