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A godown measures 40 m × 25 m × 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.

The godown has its length $$\left(l_{1}\right)$$ as 40 m, breadth $$\left(b_{1}\right)$$ as 25 m, height $$\left(h_{1}\right)$$ as 10 m,

while the wooden crate has its length $$\left(l_{2}\right)$$ as 1.5 m, breadth $$\left(b_{2}\right)$$ as 1.25 m, and height $$\left(h_{2}\right)$$ as 0.5 m.

We get that, volume of godown
= (40 x 25 x 10) $${m}^{3}$$
= 10000 $${m}^{3}$$

Also, Volume of 1 wooden crate
= (1.5 x 1.25 x 0.5) $${m}^{3}$$
= 0.9375 $${m}^{3}$$

Now, Let n wooden crates can be stored in the godown.

Therefore, volume of n wooden crates = Volume of godown
= 0.9375 x n = 10000
$$\Rightarrow$$ n = 10666.66

Therefore, 10666 Wooden crates can be stored in the godown.