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A godown measures 40 m times 25 m times ...

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

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To find the maximum number of wooden crates that can be stored in the godown, we need to follow these steps: ### Step 1: Calculate the Volume of the Godown The volume \( V \) of a cuboidal shape is given by the formula: \[ V = \text{Length} \times \text{Breadth} \times \text{Height} \] For the godown: - Length = 40 m - Breadth = 25 m - Height = 15 m Substituting the values: \[ V_{\text{godown}} = 40 \, \text{m} \times 25 \, \text{m} \times 15 \, \text{m} = 15000 \, \text{m}^3 \] ### Step 2: Calculate the Volume of One Wooden Crate The volume of one wooden crate is also calculated using the same formula: \[ V = \text{Length} \times \text{Breadth} \times \text{Height} \] For the wooden crate: - Length = 1.5 m - Breadth = 1.25 m - Height = 0.5 m Substituting the values: \[ V_{\text{crate}} = 1.5 \, \text{m} \times 1.25 \, \text{m} \times 0.5 \, \text{m} = 0.9375 \, \text{m}^3 \] ### Step 3: Calculate the Maximum Number of Wooden Crates To find the maximum number of wooden crates that can fit in the godown, we divide the volume of the godown by the volume of one crate: \[ \text{Number of crates} = \frac{V_{\text{godown}}}{V_{\text{crate}}} \] Substituting the volumes we calculated: \[ \text{Number of crates} = \frac{15000 \, \text{m}^3}{0.9375 \, \text{m}^3} = 16000 \] ### Conclusion The maximum number of wooden crates that can be stored in the godown is **16000**. ---
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