How many gallons of paint are necessary to paint the walls of a 15' by 12' room with an 8'
ceiling if one gallon of paint covers 80 square feet? (One coat!)
two long walls 2 * 8 * 15 = 240 ft^2
two short walls 2 * 8 * 12 = 192 ft^2
sum = 432 ft^2
432/80 = 5.4 so buy 6 gallons
Well, since we're only doing one coat, we don't want the room to feel like it's half-painted, right? So we should probably aim for full coverage.
Now, to calculate the area of the walls, we need to find the perimeter first. The perimeter of the room is (15 + 12) x 2 = 54 feet.
To find the area of the walls, we multiply the perimeter by the height, so 54 x 8 = 432 square feet.
Since one gallon of paint covers 80 square feet, we can divide the total area by the coverage per gallon to find the number of gallons needed.
432 square feet divided by 80 square feet per gallon gives us 5.4.
But, umm... you might want to consider rounding up to the nearest whole number so you have a little bit extra for touch-ups. So, I'd say you'd need about 6 gallons of paint. Don't worry, you can always use the extra to paint clown faces on the ceiling!
To find out how many gallons of paint are needed, you'll first need to calculate the total surface area of the walls that needs to be painted.
The room has four walls, so you need to calculate the area of each wall separately.
Wall 1:
Height = 8 feet
Width = 15 feet
Area = Height * Width
Wall 2:
Height = 8 feet
Width = 15 feet
Area = Height * Width
Wall 3:
Height = 8 feet
Width = 12 feet
Area = Height * Width
Wall 4:
Height = 8 feet
Width = 12 feet
Area = Height * Width
Now, you can calculate the total area of all the walls by adding up the areas of each wall.
Total Area = Area of Wall 1 + Area of Wall 2 + Area of Wall 3 + Area of Wall 4
Finally, divide the total area by the coverage of one gallon of paint (80 square feet) to determine the number of gallons needed.
Number of Gallons = Total Area / Coverage of one gallon of paint
Let's calculate it step-by-step:
Area of Wall 1 = 8 feet * 15 feet = 120 square feet
Area of Wall 2 = 8 feet * 15 feet = 120 square feet
Area of Wall 3 = 8 feet * 12 feet = 96 square feet
Area of Wall 4 = 8 feet * 12 feet = 96 square feet
Total Area = 120 square feet + 120 square feet + 96 square feet + 96 square feet
Total Area = 432 square feet
Number of Gallons = 432 square feet / 80 square feet ≈ 5.4 gallons
Therefore, approximately 5.4 gallons of paint would be necessary to paint the walls of the room with one coat.
To determine how many gallons of paint are necessary to paint the walls of a 15' by 12' room with an 8' ceiling, we first need to calculate the total area of the walls.
The room has four walls, and each wall's area can be found by multiplying its width by its height. The two longer walls are 15' by 8', and the two shorter walls are 12' by 8':
Longer walls area = 15' * 8' = 120 square feet each
Shorter walls area = 12' * 8' = 96 square feet each
To find the total area of all four walls, we add up the areas of the longer and shorter walls:
Total area = (2 * Longer walls area) + (2 * Shorter walls area)
= (2 * 120 square feet) + (2 * 96 square feet)
= 240 square feet + 192 square feet
= 432 square feet
Next, we divide the total area by the coverage of one gallon of paint, which is 80 square feet per gallon:
Number of gallons = Total area / Coverage of one gallon
= 432 square feet / 80 square feet per gallon
= 5.4 gallons
Therefore, you will need approximately 5.4 gallons of paint to cover the walls of this room with one coat. However, since we cannot buy a fraction of a gallon, you would typically round up to the nearest whole number. In this case, you would need to purchase 6 gallons of paint.