Question

A godown measures 40 m × 25 m × 10 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.

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Answer 1

10667 wooden crates each measuring 1.5 m x 1.25 m x 0.5 m can be stored in the godown

Solution:

Given that,

Godown measures:

Length = 40 m

Width = 25 m

Height = 10 m

Find the volume of godown

\begin{gathered}Volume\ of\ cuboid = length \times width \times height\\\\Volume\ of\ cuboid = 40 \times 25 \times 10\\\\Volume\ of\ cuboid = 10000\ m^3\end{gathered}

Volume of cuboid=length×width×height

Volume of cuboid=40×25×10

Volume of cuboid=10000 m

3

Find the volume of wooden crates

Length = 1.5 m

Width = 1.25 m

Height = 0.5 m

\begin{gathered}volume\ of\ crate = 1.5 \times 1.25 \times 0.5\\\\volume\ of\ crate = 0.9375\ m^3\end{gathered}

volume of crate=1.5×1.25×0.5

volume of crate=0.9375 m

3

Find the number of wooden crates:

\begin{gathered}\text{Number of wooden crates } = \frac{\text{ volume of godown }}{\texr{ volume of crate }}\\\\\text{Number of wooden crates } = \frac{10000}{0.9375}\\\\\text{Number of wooden crates } = 10666.66 \approx 10667\end{gathered}

Number of wooden crates =

\texrvolumeofcrate

volume of godown

Number of wooden crates =

0.9375

10000

Number of wooden crates =10666.66≈10667

Thus 10667 wooden crates each measuring 1.5 m x 1.25 m x 0.5 m can be stored in the godown