If you had a room that is 10 foot by 12 foot in the shape of a rectangle, and one gallon of paint covers about 350 square feet, how many gallons of paint would you have to buy if you were painting the walls and the ceiling?
Ceiling: 10 * 12 = 120 sq. feet
You need to know the height of the walls to determine their areas.
To find out how many gallons of paint you would need to buy, you first need to calculate the total area of the walls and the ceiling of the room.
1. Calculate the area of the four walls:
Since you have a rectangular room, there are two pairs of walls with the same dimensions.
The total area of the four walls is equal to twice the sum of the lengths of the two pairs of walls multiplied by the height of the room.
In this case, the sum of the lengths of the two pairs of walls is (10 + 10) + (12 + 12) = 44 feet.
Assuming the room's height is standard, we can use any average height value, such as 8 feet.
The area of the four walls is 44 feet * 8 feet = 352 square feet.
2. Calculate the area of the ceiling:
The area of a rectangle is found by multiplying its length by its width.
So the area of the ceiling in this case is 10 feet * 12 feet = 120 square feet.
3. Calculate the total area to be painted:
To find the total area, add the area of the walls (352 square feet) to the area of the ceiling (120 square feet).
The total area to be painted is 352 square feet + 120 square feet = 472 square feet.
4. Determine the number of gallons of paint needed:
One gallon of paint covers about 350 square feet (according to the given information).
Divide the total area to be painted (472 square feet) by the coverage of one gallon of paint (350 square feet).
The number of gallons needed is 472 square feet / 350 square feet = 1.35.
Therefore, you would need to buy approximately 1.35 gallons of paint to cover the walls and ceiling of your 10-foot by 12-foot room. Since you can't buy a fraction of a gallon, you would need to buy 2 gallons to ensure you have enough paint to cover the entire area.