Q. 74.3( 222 Votes )

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.

Answer :

The dimensions of godown are:
length (l1) as 40 m, breadth (b1) as 25 m, height (h1) as 15 m,
while the wooden crate has the dimensions:

length (l2) as 1.5 m, breadth (b2) as 1.25 m, and height (h2) as 0.5 m respectively

Therefore,

 Volume of godown = l1 × b1 × h1

= (40m × 25m × 15m)

 = 15000 m3

Volume of 1 wooden crate = l2 × b2 × h2

= (1.5 m × 1.25m × 0.5m)

= 0.9375 m3

Let n wooden crates can be stored in the godown

Therefore, volume of n wooden crates = Volume of godown

0.9375 × n = 15000

∴ The maximum number of wooden crates will be 16000.

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