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 = l1 * b1 * h1 = 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 = l2 * b2 * h2 = 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.