A gallon of paint costs $20 and covers 465 square feet. Three coats of paint are recommended for even coverage. The room to be painted is 12 feet high, 20 feet long, and 20 feet wide.
How many gallons are needed to paint the walls?
A = 4 * 12 * 20
A = 960 sq. ft.
960 * 3 = 2,880
2,880 / 465 = ?
To calculate the number of gallons needed to paint the walls, we need to determine the total square footage of the walls and then divide that by the coverage of one gallon.
First, let's calculate the total square footage of the walls. The room has a height of 12 feet, a length of 20 feet, and a width of 20 feet. Since we only want to paint the walls, we can ignore the floor and ceiling.
The total square footage of the four walls can be calculated using the formula:
Total Wall Area = 2 * (height * length) + 2 * (height * width)
Plugging in the given values:
Total Wall Area = 2 * (12 ft * 20 ft) + 2 * (12 ft * 20 ft)
Total Wall Area = 480 sq ft + 480 sq ft
Total Wall Area = 960 sq ft
Since three coats of paint are recommended for even coverage, we need to multiply the total wall area by three:
Total Wall Area (including 3 coats) = 960 sq ft * 3 = 2880 sq ft
Next, we can calculate the number of gallons needed. Given that one gallon of paint covers 465 square feet, we can divide the total wall area (including 3 coats) by the coverage of one gallon:
Number of gallons needed = Total Wall Area (including 3 coats) / Coverage of 1 gallon
Number of gallons needed = 2880 sq ft / 465 sq ft per gallon
Now, let's calculate the result:
Number of gallons needed = 6.19 gallons (approximately)
Therefore, you would need approximately 6.19 gallons of paint to paint the walls of the room.