A godown measures 40m × 25m × 15m. Find the maximum number of wooden crates each measuring 1.5m × 1.25m × 0.5m that can be stored in the godown.

Solution:

Given: Dimensions of the godown are 40m × 25m × 15m and that of crate is 1.5m × 1.25m × 0.5m

We have to find the number of crates that can be stored in the godown.

Since the godown and crates are cuboidal in shape, their volume will be equal to the volume of the cuboid.

The volume of cuboid of length l, breadth b, and height h, is l × b × h

The maximum number of wooden crates that can be stored in the godown will be the ratio of the volume of the godown to the volume of a wooden crate.

Length of the godown, breadth of the godown and height of the godown are L = 40 m, B = 25 m and H = 15 m respectively.

Capacity of the godown = L × B × H

= 40m × 25m × 15m

= 15000 m³

Length of the crate, l = 1.5 m

Breadth of the crate, b =1.25 m

Height of the crate, h = 0.5 m

Volume of each crate = l × b × h

= 1.5m × 1.25m × 0.5m

= 0.9375 m³

Number of crates = 15000m³/0.9375m³ = 16000

The maximum number of wooden crates that can be stored in the godown is 16000.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

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Video Solution:

A godown measures 40m × 25m × 15m. Find the maximum number of wooden crates each measuring 1.5m × 1.25m × 0.5m that can be stored in the godown.

Class 9 Maths NCERT Solutions Chapter 13 Exercise 13.5 Question 7

Summary:

It is given that there is a godown that measures 40m × 25m × 15m. We have found that the maximum number of wooden crates measuring 1.5m × 1.25m × 0.5m that can be stored in the godown is 16000.

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