- Surface Areas and Volumes - Exercise 13.1
- Surface Areas and Volumes - Exercise 13.2
- Surface Areas and Volumes - Exercise 13.3
- Surface Areas and Volumes - Exercise 13.4
- Surface Areas and Volumes - Exercise 13.5
- Surface Areas and Volumes - Exercise 13.6
- Surface Areas and Volumes - Exercise 13.7
- Surface Areas and Volumes - Exercise 13.8
- Surface Areas and Volumes - Exercise 13.9
NCERT Solutions Class 9 Mathematics Solutions for Surface Areas and Volumes - Exercise 13.5 in Chapter 13 - Surface Areas and Volumes
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A godown measures 40 m x 25 m x 15 m. Find the maximum number of wooden crates each
measuring 1.5 m x 1.25 m x 0.5 m that can be stored in the godown.
From the statement, we have
Length of the godown = 40 m
Breadth = 25 m
Height = 15 m
Whereas,
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.
Now,
\begin{aligned} &\text { Volume of godown }=(40 \times 25 \times 15) \mathrm{m}^{3}=10000 \mathrm{m}^{3}\\ &\text { Volume of a wooden crate }=(1.5 \times 1.25 \times 0.5) \mathrm{m}^{3}=0.9375 \mathrm{m}^{3} \end{aligned}
Let us consider that, n wooden crates can be stored in the godown, then
Volume of n wooden crates = Volume of godown
0.9375 x n = 10000
Or n = 10000/0.9375 = 10666.66
Hence, the number of wooden crates that can be stored in a godown is 10666.
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