NCERT Solutions Class 9 Mathematics Solutions for Surface Areas and Volumes - Exercise 13.5 in Chapter 13 - Surface Areas and Volumes

Question 6 Surface Areas and Volumes - Exercise 13.5

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

Height = 15 m

Whereas,

Length of the wooden crate = 1.5 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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