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A godown measures 60 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. - Mathematics

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A godown measures 60 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.

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Solution

The godown has its length (l1) as 60 m, breadth (b1) as 25 m, height (h1) as 10 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 × 10) m3

                                           = 15000 m3

Volume of 1 wooden crate = l× b× 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.

Concept: Volume of a Cuboid
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APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.5 | Q 7 | Page 228

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