Question

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

Answer 1

Answer:

16000

Step-by-step explanation:

volume of godown= 40 m x 25 m x 15

                              =15000$m^{3}$

volume of each wooden crates= 1.5 m x 1.25 m x 0.5 m

                                                    =0.9375 $m^{3}$

total number of wooden crates that can be stored in th godown =$\frac{volume\ of\ godown}{volume\ of\ wooden\ crates}$

             =$\frac{15000m^{3}}{0.9375 m^{3}}$

            =16000    

So, the total number of boxes that can be stored in godown is 16000.

Answer 2

Answer :

Given ,

          First Case :

• Length - 40 m
• Breadth - 25m
• Height - 15 m

    Second Case :

• Length - 1.5m
• Breadth-1.25m
• Height-   0.5m        

• Volume/capacity of the godown - { 40m x 25m x 15m}
• Volume of one wooden crates - { 1.5m x 1.25m x 0.5m}

Now , According to this question :

Required number of Wooden crates = ${\frac{Capacity\ of the\ godown }{ Volume\ of one\ wooden\ crate }$

                                                             

                                                           => $\frac{40m \times 25m\times 15m }{1.5m \times 1.25m \times 0.5m }$

                                                            => $\frac{length \times breadth \times height }{length\times breadth \times height}$

                                                           => $\frac{15000m^{3} }{0.9375m^{3} }$

                                                           => 16000

So maximum 16000 crates can be stored in the godown