A room measures 15 ft by 19 ft. The ceiling is 10 ft above the floor. The door is 3 ft by 7 ft. A gallon
of paint will cover 78.2 ft2. How many gallons of paint are needed to paint the room (including the
ceiling and not including the door). Round your answer up to the next whole number.
Two walls are 15' x 10' = 150+150 ft^2.
Two walls are 19' x 10' = 190+190 ft^2
The door subtracts 3' x 7' = 21 ft^2
Add (and subtract) to obtain the final area, then divide by 78.2 to obtain gallons needed. check my work.
What about the ceiling, Should you add another 15x19 area then divide by 78.2 to get the amount of gallons needed?
so approx. 9 gal.
To find out how many gallons of paint are needed to paint the room, you need to determine the total area that needs to be painted.
First, calculate the area of each wall separately:
- The first wall measures 15 ft by 10 ft, which gives an area of 15 ft * 10 ft = 150 ft².
- The second wall measures 15 ft by 10 ft, which also gives an area of 150 ft².
- The third wall measures 19 ft by 10 ft, which gives an area of 19 ft * 10 ft = 190 ft².
- The fourth wall measures 19 ft by 10 ft, which also gives an area of 190 ft².
Next, calculate the area of the ceiling:
- The ceiling measures 15 ft by 19 ft, so the area is 15 ft * 19 ft = 285 ft².
Now, add up the areas of all the walls and the ceiling:
- Total wall area = 150 ft² + 150 ft² + 190 ft² + 190 ft² = 680 ft²
- Total ceiling area = 285 ft²
Finally, add the wall area and ceiling area together to get the total area that needs to be painted:
- Total area = 680 ft² + 285 ft² = 965 ft²
Since a gallon of paint covers 78.2 ft², divide the total area by the coverage of each gallon of paint:
- Number of gallons required = 965 ft² ÷ 78.2 ft²/gallon = 12.35 gallons
Round up the result to the nearest whole number:
- Rounded up to the next whole number, you'll need 13 gallons of paint to paint the room.
Therefore, you will need 13 gallons of paint to paint the room, including the ceiling and not including the door.