The paint in a certain container is sufficient to paint 8.5 m² surface. How many containers of paint will be required to paint the walls of a hall room which is 12 m long, 5 m wide and 4.25 m high? Find the cost of paint if each container costs ₹350.
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Answer:
To calculate how many containers of paint are required to paint the walls of the hall room, we need to find the total surface area of the walls and then divide it by the coverage provided by one container of paint.
First, calculate the surface area of each wall and then add them together to find the total surface area:
1. **Two walls of 12 m x 4.25 m each** (since the hall room is 12 m long and 4.25 m high, and there are two of these walls): 2 * (12 m * 4.25 m) = 102 m².
2. **Two walls of 5 m x 4.25 m each** (since the hall room is 5 m wide and 4.25 m high, and there are two of these walls): 2 * (5 m * 4.25 m) = 42.5 m².
3. **The ceiling of 12 m x 5 m**: 12 m * 5 m = 60 m².
Now, find the total surface area of the walls:
Total Surface Area = 102 m² + 42.5 m² + 60 m² = 204.5 m².
Given that one container of paint can cover 8.5 m², you can find the number of containers required:
Number of Containers = Total Surface Area / Coverage per Container = 204.5 m² / 8.5 m²/container ≈ 24 containers.
Now, to find the cost of the paint, multiply the number of containers by the cost per container:
Cost of Paint = Number of Containers * Cost per Container = 24 containers * ₹350/container = ₹8,400.
So, you will need approximately 24 containers of paint, and the total cost of paint will be ₹8,400.
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