Notifications
Clear all
Surface Areas and Volumes
1
Posts
2
Users
0
Likes
453
Views
0
26/07/2021 11:06 am
Topic starter
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs. 10 per m2 is Rs. 15000, find the height of the hall.
[Hint: Area of the four walls = Lateral surface area.]
1 Answer
0
26/07/2021 11:08 am
Let length, breadth, and height of the rectangular hall be l, b, and h respectively.
Area of four walls = 2lh + 2bh
= 2(l + b)h
Perimeter of the floor of hall = 2(l+b)
= 250 m
Area of four walls = 2(l+b) h
= 250h m2
Cost of painting per square meter area = Rs.10
Cost of painting 250h square meter area
= Rs (250 × 10)h = Rs. 2500 h
However, it is given that the cost of paining the walls is Rs. 15000.
15000 = 2500h
h = 6
Therefore, the height of the hall is 6 m.