The length , breadth and height of a room are 9m , 8m and 7m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 6.50 per m^2
Answers
Answer:
Total cost of whitewashing is 2,088 rupees.
Given-:
Dimensions of the rectangle are :
Length(l) = 8.5m
Breath(b)= 7m
Height(h) = 6.5m
As for whitewashing the four walls we need to find the surface area.
Area of the four walls or the curved surface area of rectangle = 2*h*(l+b)
=> 2*6.5*(8.5 + 7)
=> 2*6.5*15.5
=> 201.5 m²
And for the area of the ceiling we need to find the area of only one rectangular side i.e (l*b).
=> Area = (l*b)
=> Area = 8.5*7
=> Area = 59.5m²
Hence-:
Total area of the four walls of room and the ceiling = (201.5 + 59.5)m² = 261m²
We have-:
Cost of whitewashing 1 m² = 8 rupees
So cost for the whitewashing 261 m² will be as
=> 261*8 rupees
=> 2,088 rupees
Therefore-:
Total 2088 rupees will be required for the whitewashing 261 m².
Answer:
Step-by-step explanation:
We have to find the area of 4 walls and a ceiling, so we'll use the formula of lateral surface area of cuboid.
Lateral surface area of cuboid=2(LB+BH+HL)
Area of ceiling=LxB
ATQ,
Area of room except floor=area of 4 walls +area of ceiling
Or,area= 2(LB+BH+HL)+LB
or,area=2{(9*8)+(8*7)+(7*9)}+(9*8)
or,area=2(72+56+63)+(72)
or,area=(2* 191)+72
or,area=382+72
or,area=454 m^2
now,
Cost of white washing=(454*6.5)
or,cost=rs.2951