A godown measures 40 m × 25 m × 10 m.
Question:

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.

Solution:

Given,

Godown length (l1) = 40 m

Godown breadth (b1) = 25 m

Godown height (h1) = 10 m

Volume of the godown = l* b* h= 40 * 25 * 10

$=10000 \mathrm{~m}^{3}$

Wooden crate length (l2) = 1.5 m

Wooden crate breadth (b2) = 1.25 m

Wooden crate height (h2) = 0.5 m

Volume of the wooden crate = l* b* h= 1.5 * 1.25 * 0.5

$=0.9375 \mathrm{~m}^{3}$

The number of wooden crates stored in the godown is taken as ‘n’

Volume of ‘n’ wooden crates = Volume of godown

= 0.9375 n = 10000

= n = 10000/0.9375 = 10666.66

Therefore, the number of wooden crates that can be stored in the godown is 10666.66.

 

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