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Q.

A godown measures 40 m × 25 m × 15 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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Detailed Solution

From the question dimensions of the godown are as, Length = 40 m, Breadth = 25 m, and Height = 15 m

From the question dimensions of the wooden crate are as, Length = 1.5 m, Breadth = 1.25 m, and Height = 0.5 m

Since the godown and wooden crate are in cuboidal shape. We will use the formula, 

V = l × b × h.

Therefore, volume of godown = 40 × 25 × 15 = 15000 m3

And volume of a wooden crate = 1.5 × 1.25 × 0.5 = 0.9375 m3

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

The volume of n wooden crates = Volume of godown

0.9375 × n =15000

Therefore on solving this, no. of wooden crate, n = 16000

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