Math, asked by applechichi6330, 10 months ago

The dimension of a room are (16×14×19)m. There are 4 Windows of *1.3×1.4)m and 2 doors of (2×1)m what will be the cost of while washing is rs 5/m^2 and the rate of painting is rs8/m^2.solve short question.

Answers

Answered by Anonymous
121

AnswEr :

  • Room = (16m × 14m × 19m)
  • Window = (1.3m × 1.4m) Each
  • Door = (2m × 1m) Each

As we have to find the Cost of white washing and painting, that will be done on four walls only i.e. Curved Surface Area.

Let's Head to the Question Now :

↠ Area Required = CSA of Walls – (Area of 4 windows + Area of 2 Doors)

↠ Area Required = [2(l + b) × h] – [(4 × lb) + (2 × lb)]

↠ Area Required = [2(16 + 14) × 19)] – [(4 × 1.3 × 1.4) + (2 × 2 × 1)]

↠ Area Required = [2 × 30 × 19] – [7.28 + 4]

↠ Area Required = [1140m² – 11.28m²]

Area Required = 1128.72

Area Required to work on is 1128.72 m²

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COST OF WHITE WASHING :

⇒ Cost = Area Required × Rate

⇒ Cost = 1128.72 m² × Rs. 5 @m²

Cost = Rs. 5643.60

Cost of white washing is Rs. 5643.60

_______________________________

COST OF PAINTING THE WALLS :

⇒ Cost = Area Required × Rate

⇒ Cost = 1128.72 m² × Rs. 8 @m²

Cost = Rs. 9029.76

Cost of Painting of walls is Rs. 9029.76

#answerwithquality #BAL

Answered by itzNarUto
71

Answer:

The room has dimensions of 16 m by 14 m by 10 m.

So, the area of the four walls (including the doors and windows) of the room will be = 2(L + W)H = 2(16 + 14) × 10 = 600 sq. meters.  

Now the total area of four windows and two doors = 4(1.3 × 1.4) + 2(2 × 1) = 11.28 sq. meters.

So, the painting cost of the doors and windows at the rate of 8 Rs. per sq, meters will be (11.28 × 8) = 90.24 Rs.

Now, the area of the wall excluding the doors and windows is (600 - 11.28) = 588.72 sq. meters.

Hence, the cost of whitewashing the wall at a rate of 5 Rs. per sq. meters will be (588.72 × 5) = 2943.6 Rs.

Therefore, the total cost of painting and whitewashing will be (2943.6 + 90.24) = Rs. 3033.84. (Answer)

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