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Question

Question 7
A godown measures 40 m×25 m×10 m.Find the maximum number of wooden crates each measuring 1.5 m×1.25 m×0.5 m that can be stored in the godown.


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Solution

The godown has its length (l1) as 40 m, breadth (b1) as 25 m, height (h1) as 10 m, while the wooden crate has its length (l2) as 1.5 m, breadth (b2) as 1.25 m and height (h2) as 0.5 m.

Therefore, volume of godown =l1×b1×h1=(40×25×10)m3

=10000 m3

Volume of 1 wooden crate =l2×b2×h2=(1.5×1.25×0.5)m3

=0.9375 m3

Let n be the number of wooden crates can be stored in the godown.

Therefore, volume of n wooden crates = volume of the godown

0.9375×n=10000

n=100000.9375=10666.66

Therefore, 10666 wooden crates can be stored in the godown.


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