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Surface Areas and Volumes
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30/07/2021 10:01 am
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A godown measures 40 m × 25m × 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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30/07/2021 10:04 am
From statement, we have
Length of the godown = 40 m
Breadth = 25 m
Height = 15 m
Length of the wooden crate = 1.5 m
Breadth = 1.25 m
Height = 0.5 m
Since godown and wooden crate are in cuboidal shape.
Find the volume of each using formula, V = lbh.
Volume of godown = (40 x 25 × 15) m3
= 15000 m3
Volume of a wooden crate = (1.5 × 1.25 × 0.5) m3
= 0.9375 m3
Let us consider that, n wooden crates can be stored in the godown, then
Volume of n wooden crates = Volume of godown
0.9375 × n = 15000
n = \(\frac{15000}{0.9375}\)
= 16000
Hence, the number of wooden crates that can be stored in the godown is 16,000.