a classroom is 12 m long 10 m wide and 1.5 m hi it has two rows each 2 m long 1 m wide and 3 windows each 1.5 and 0.5 m find the cost of painting its four walls at 12 rupees per metre square
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Answer:
Length of room = 12 m
Breadth of room = 10 m
Height of room = 1.5 m
Room is cuboid in shape. So,
Curved surface area of cuboid = 2h(1 +
b)
Substitute the known values in above
formula
=> 2 x 1.5(12 + 10)
=> 3(22)
=> 66 m²
Now,
Length of window = 1.5 m
Breadth of window = 0.5 m
So,
Area of 3 windows = 3(1 + b)
Substitute the known values in above
formula
=> 3(1.5 + 0.5)
=> 3(2)
=> 6 m²
Also,
Length of door = 2 m
Breadth of door = 1 m
Area of 2 doors = 2(1 + b)
=> 2(2 + 1)
=> 2(3)
=> 6 m²
Area of four walls without doors and windows = CSA of room - (Area of 3 windows + Area of 2 doors)
=> 66 - (6 + 6)
=> 66-12
=> 54 m²
Cost of painting the four walls at Rs.
per m²
12
=> 54 x 12
=> Rs. 648
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