A room is 13 ft. It needs to be painted. The ceiling is 8 ft above the floor. there are two windows int he room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft. What is the area of the wall and ceiling? 1 gallon of paint covers 64.37sq ft. How many gallons are needed to paint the room? At $23.48 a gallon, what is the cost to paint the room?
Your School Subject is math.
You forgot one of the dimensions. You state that one dimension is 13 feet. What is the other dimension?
To find the area of the walls and ceiling of the room, we need to calculate the area of each separate surface and then add them together.
1. Ceiling area:
The ceiling is a rectangle with dimensions 13 ft by 8 ft. To find the area, multiply the length by the width:
Ceiling area = 13 ft * 8 ft = 104 sq ft
2. Wall area:
The room has four walls, so we need to calculate the area of each wall separately and then add them together.
Each wall has a height of 8 ft and a width of 13 ft.
- Wall 1: No windows or door
Wall 1 area = height * width = 8 ft * 13 ft = 104 sq ft
- Wall 2: Window
To find the area of this wall, subtract the area of the window from the total wall area.
Window area = 3 ft * 4 ft = 12 sq ft
Wall 2 area = Wall area - Window area = 104 sq ft - 12 sq ft = 92 sq ft
- Wall 3: Window
Following the same process as above, Wall 3 area = 92 sq ft
- Wall 4: Door
To find the area of this wall, subtract the area of the door from the total wall area.
Door area = 2.5 ft * 6.5 ft = 16.25 sq ft
Wall 4 area = Wall area - Door area = 104 sq ft - 16.25 sq ft = 87.75 sq ft
Now, add up all the wall areas to find the total wall area:
Total wall area = Wall 1 area + Wall 2 area + Wall 3 area + Wall 4 area
Total wall area = 104 sq ft + 92 sq ft + 92 sq ft + 87.75 sq ft = 375.75 sq ft
To find the total area of the room (walls and ceiling combined), add the ceiling area to the total wall area:
Total area = Ceiling area + Total wall area = 104 sq ft + 375.75 sq ft = 479.75 sq ft
To calculate the number of gallons needed to paint the room, divide the total area by the coverage of 1 gallon of paint (64.37 sq ft/gallon):
Gallons needed = Total area / Coverage per gallon = 479.75 sq ft / 64.37 sq ft/gallon
Dividing these values, we can find the number of gallons needed.
Finally, to calculate the cost of painting the room, multiply the number of gallons needed by the price per gallon ($23.48/gallon).
Please note that when calculating costs, it's essential to round up the number of gallons to ensure you have enough paint to cover the entire area.