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

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 = $Length\times Width$

$=L\times W$

$= 850\times 380$

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

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

Area of sheet required for 1 closed box $=(Side a\times 2)+(Side b\times 2)+(Side c\times 2)$

$=(19\times 5\times 2)+(17\times 5\times 2)+(19\times 17\times 2)$

$=190+170+646$

$=1006$

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

$=\frac{323000}{1006}$

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

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