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.

Open in App

Solution

It is given that
Length of the godown $= 40 m$
Breadth of the godown $= 25 m$
Height of the godown $= 15 m$

We know that

Volume of the godown $= 1 \times b \times h$

By substituting the values

Volume of godown $= 40 \times \times 25 \times 15$

On further calculation

Volume of godown $= 15000 m^{3}$

It is given that

Length of wooden crate $= 1.5 m$
Breadth of wooden crate $= 1.25 m$
Height wooden crate $= 0.5 m$

We know that

Volume of each wooden crate $= 1 \times b \times h$

By substituting the values

Volume of each wooden crate $= 1.5 \times 1.25 \times 0.5$

On further calculation

Volume of each wooden crate $= 0.9375 m^{3}$

So we get

Number of wooden crates that can be stored in godown $= \frac{V o l u m e o f g o d o w n}{V o l u m e o f e a c h w o o d e n c r a t e}$

By substituting the values

Number of wooden crates that can be stored in godown $= \frac{15000}{0.9375}$

So we get

Number of wooden crates that can be stored in godown $= 16000$

Therefore, the number of wooden crates that can be stored in the godown are $16000$ .

Suggest Corrections

Similar questions

Q. A godown measures

40 m

\times 25 m

\times 15 m

. Find the maximum of wooden crates each measuring

1.5 m

\times 1.25 m

\times 0.5 m

that can be stored in the godown.

Q. A goodown measure

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.

Q. A godown measures

40 m \times 25 m \times 15 m .

Find the maximum number of wooden each measuring

1.5 m \times 1.25 m \times 0.5 m

that can be stored in the godown .

Question 7
A godown measures 40 m×25 m×10 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.

Q. A godown measures

40

\times 25

\times 10

m. Find the maximum number of wooden crates each measuring

1.5

\times 1.25

\times 0.5

m that can be stored in the godown.

Join BYJU'S Learning Program

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

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.