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


The dimensions of godown are length (l1) as 40 m, breadth (b1) as 25 m, height (h1) as 10 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 × 10m)

 = 10000 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 = 10000

n =

= 10666.66

∴ The maximum number of wooden crates will be 10666.

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