Yesterday i was doing the question from class 9^{th} 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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# 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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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) m

^{3}= 15000 m^{3}Volume of a wooden crate = (1.5×1.25×0.5) m

^{3}= 0.9375 m^{3 }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.