Question

the length and the breadth of a rectangular tenth shape are 10m and 2m respectively in praparing a close cylindrical box 41sqcm is wasted if the radius of the base of box is to be 3.5 cm and height is to be 6cm how many boxes can be made from this teen sheet
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Answer 1

Answer:

The number of boxes made from teen sheet is 958

Step-by-step explanation:

Given as :

The length of rectangular teen shape = l = 10 m

The breadth of rectangular teen shape = b = 2 m

Area of rectangular teen shape = l × b

i.e Area = 10 m × 2 m = 20 m² = 200000 cm²

Let The number of boxes = n

Now,

The rectangular teen shape is used to prepare cylinder boxes

The radius base of box = r =3.5 cm

Height = h = 6 cm

Total surface area of cylinder box = 2 × π × r × h + 2 × π × r²

i.e TSA =  2 × 3.14 × 3.5 × 6 + 2 × 3.14 × 3.5²

Or, TSA = 131.88 + 76.93

Or, TSA = 208.81 cm²

According to question

The area wasted while making boxes = 41 sq cm

So, Area left from rectangular teen = 200000 - 41 = 199959 sq cm

Number of boxes = $\dfrac{Area of rectangular tenth}{area of cylindrical box}$

Or,  n = $\dfrac{199959}{208.8}$ = 957.61 ≈ 958

Hence, The number of boxes made from teen sheet is 958 . Answer