Question

A cuboidal box 90cm*50cm*35cm* is to be curved with metal sheet .how many metres of sheet of width 94cm is required to cover 50 such boxes?

Answer 1

Answer:

100 m

Step-by-step explanation:

Find the total surface area of 1 box:

Total surface area = 2( 90x50 + 50x35 + 35x90) = 18800 cm²

Find the total surface area of 50 boxes:

1 box = 18800 cm²

50 boxes = 18800 x 50 = 940000 cm²

Find the length of the sheet needed:

Length = 940000 ÷ 94 = 10000 cm = 100 m

Answer: 100 m

Answer 2

200 m of sheet of width 94cm is required to cover 50 such boxes

Step-by-step explanation:

Length of box = 90 cm

Breadth of box = 50 cm

Height of box = 35 cm

Total surface area of box = $2(lb+bh+hl)=2(90 \times 50+50 \times 35+35 \times 90)=18800 sq.cm.$

Total surface area of 50 boxes = 50*18800=940000 sq.cm.

Let the Length of sheet be x

Breadth of sheet = 94 cm

Area of sheet required for 1 box $= Length \times Breadth = 94x$

Area of sheet required for 50 boxes =$50 \times 94 x=4700x$

So, $4700x=940000$

$x=\frac{940000}{4700}$

x= 200

Hence 200 m of sheet of width 94cm is required to cover 50 such boxes

#Learn more:

A closed box is cuboid in shape with length =40cm , breadth =30cm and height =50cm. It is made up of a thin metal sheet. Find the cost of metal sheet required to make 20 boxes , if 1m^2 of metal sheet costs Rs.45.

https://brainly.in/question/6784583