Q. 74.3( 222 Votes )

# 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.

Answer :

The dimensions of godown are:

length (l_{1}) as 40 m, breadth (b_{1}) as 25 m, height (h_{1}) as 15 m,

while the wooden crate has the dimensions:

length (l_{2}) as 1.5 m, breadth (b_{2}) as 1.25 m, and height (h_{2}) as 0.5 m respectively

Therefore,

Volume of godown = l_{1} × b_{1} × h_{1}

= (40m × 25m × 15m)

= 15000 m^{3}

Volume of 1 wooden crate = l_{2} × b_{2} × h_{2}

= (1.5 m × 1.25m × 0.5m)

= 0.9375 m^{3}

Let n wooden crates can be stored in the godown

Therefore, volume of n wooden crates = Volume of godown

0.9375 × n = 15000

**∴ The maximum number of wooden crates will be 16000.**

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