classroom is 20 m long, 15 m wide, and 3 m high. four windows (2m by 3m) and a door (2m by 1m). What is the cost of providing air conditioning for this classroom at $60
per square meter?
First, we need to calculate the area of the classroom:
- Area of floor = length x width = 20m x 15m = 300 square meters
- Area of walls = 2 x (length x height) + 2 x (width x height) = 2 x (20m x 3m) + 2 x (15m x 3m) = 120 square meters
- Area of windows = 4 x (2m x 3m) = 24 square meters
- Area of door = 1 x (2m x 1m) = 2 square meters
Total area = floor area + wall area - window area - door area = 300 + 120 - 24 - 2 = 394 square meters
The cost of air conditioning would be:
Cost = area x cost per square meter = 394 x $60 = $23,640
Therefore, the cost of providing air conditioning for this classroom would be $23,640.
To find the total cost of providing air conditioning for this classroom, we first need to calculate the surface area of the walls.
The four walls have the following dimensions:
- Wall 1: length = 20m, height = 3m
- Wall 2: length = 20m, height = 3m
- Wall 3: width = 15m, height = 3m
- Wall 4: width = 15m, height = 3m
Thus, the area of each wall is:
- Wall 1: 20m * 3m = 60 m²
- Wall 2: 20m * 3m = 60 m²
- Wall 3: 15m * 3m = 45 m²
- Wall 4: 15m * 3m = 45 m²
Therefore, the total surface area of the four walls is: 60m² + 60m² + 45m² + 45m² = 210 m².
Additionally, we need to determine the area of the windows and the door:
- Area of the windows: 4 windows * (2m * 3m) = 24 m²
- Area of the door: 1 door * (2m * 1m) = 2 m²
Now, we can calculate the total area that needs to be air-conditioned by subtracting the area of the windows and the door from the total surface area of the walls:
Total area = Total surface area of walls - Area of windows - Area of door
Total area = 210 m² - 24 m² - 2 m²
Total area = 184 m²
Finally, we can calculate the total cost of providing air conditioning by multiplying the total area by the cost per square meter:
Total cost = Total area * Cost per square meter
Total cost = 184 m² * $60
Total cost = $11,040
Therefore, the cost of providing air conditioning for this classroom is $11,040.