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.
Only 4 gallons of paint are left to paint the room. Is this enough paint for the walls of the room? Explain.
How many gallons are needed to paint the walls?
How much would it cost to paint the walls and ceiling?
First, find the square feet of the walls of this room.
To determine if 4 gallons of paint are enough to paint the walls of the room, we need to calculate the total area of the walls and then divide it by the coverage area of a gallon of paint.
Step 1: Calculate the total area of the walls:
- The room is 12 feet high, 20 feet long, and 20 feet wide.
- The room has four walls, with the dimensions: 12 ft x 20 ft, 12 ft x 20 ft, 20 ft x 20 ft, and 20 ft x 20 ft.
- Calculate the area of each wall by multiplying the length and height dimensions: (12 ft x 20 ft) + (12 ft x 20 ft) + (20 ft x 20 ft) + (20 ft x 20 ft).
- Add all four wall areas together to get the total wall area.
Step 2: Determine the coverage area of a gallon of paint:
- Given that a gallon of paint covers 465 square feet, divide the total wall area by 465 to find the number of gallons needed for complete coverage.
If the number of gallons needed is greater than the 4 gallons available, then there is not enough paint to cover the walls completely. Otherwise, there is enough paint.
To calculate how many gallons are needed to paint the walls, you'll need the dimensions of the room and the coverage area of a gallon of paint as explained earlier.
To calculate how much it would cost to paint the walls and ceiling, we'll need the cost per gallon of paint and the total number of gallons required for both the walls and the ceiling.