Question

A rectangular metal sheet is 8.5m long and 3.8m wide how many closed boxes of dimensions 17 cm*19cm5cm can be made out of it

Answer 1

321 closed boxes can be made.

Explanation:

Given:- Rectangular metal sheet of 8.5m long (L)=850cm and 3.8m wide(W)=380cm.

Area of rectangular sheet =
`Length* Width`

`=L* W`

`= 850* 380`

Area of rectangular metal sheet
`= 323000 square\ cm`

Now, to calculate total sheet required for 1 closed box of
`17cm(l)* 19cm(b)* 5cm(h)`

Area of sheet required for 1 closed box
`=(Side a* 2)+(Side b* 2)+(Side c* 2)`

`=(19* 5* 2)+(17* 5* 2)+(19* 17* 2)`

`=190+170+646`

`=1006`

Area of sheet required for 1 closed box
`=1006\ Square\ cm`

Now,

Total number of boxes can be made = Area of rectangular sheet divided by Area of sheet required for 1 box

`=(323000)/(1006)`

Total number of boxes can be made
`=321.07=321`

Therefore 321 numbers of boxes can be made out of it.