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Question
A godown measures 60 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.
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Solution
The godown has its length (l1) as 60 m, breadth (b1) as 25 m, height (h1) as 15 m, while the wooden crate has its length (l2) as 1.5 m, breadth (b2) as 1.25 m, and height (h2) as 0.5 m.
Therefore, volume of godown = l1 × b1 × h1
= (60 × 25 × 15) m3
= 15000 m3
Volume of 1 wooden crate = l2 × b2 × h2
= (1.5 × 1.25 × 0.5) m3
= 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
n = 15000/0.9375=16000
Therefore, 16,000 wooden crates can be stored in the godown.
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