Answer:
321 closed boxes can be made.
Step-by-step explanation:
Given:- Rectangular metal sheet of 8.5m long (L)=850cm and 3.8m wide(W)=380cm.
Area of rectangular sheet = [tex]Length\times Width[/tex]
[tex]=L\times W[/tex]
[tex]= 850\times 380[/tex]
Area of rectangular metal sheet [tex]= 323000 square\ cm[/tex]
Now, to calculate total sheet required for 1 closed box of [tex]17cm(l)\times 19cm(b)\times 5cm(h)[/tex]
Area of sheet required for 1 closed box [tex]=(Side a\times 2)+(Side b\times 2)+(Side c\times 2)[/tex]
[tex]=(19\times 5\times 2)+(17\times 5\times 2)+(19\times 17\times 2)[/tex]
[tex]=190+170+646[/tex]
[tex]=1006[/tex]
Area of sheet required for 1 closed box[tex]=1006\ Square\ cm[/tex]
Now,
Total number of boxes can be made = Area of rectangular sheet divided by Area of sheet required for 1 box
[tex]=\frac{323000}{1006}[/tex]
Total number of boxes can be made[tex]=321.07=321[/tex]
Therefore 321 numbers of boxes can be made out of it.
