Answer: 5 cans of paint
Explanation:
To calculate the number of cans of paint Fez should buy, we need to determine the total area of the basement that needs to be painted and then divide it by the coverage area of each can of paint.
The total area to be painted includes the walls and the ceiling of the basement, excluding the windows and the door.
1. Calculate the area of the walls: The perimeter of the room can be found by adding up the lengths of all four walls. Perimeter = 2(length + width) = 2(40 + 25) = 2(65) = 130 feet
The height of the walls is given as 8 feet, so the total area of the walls is:
Area of walls = Perimeter * Height = 130 * 8 = 1040 square feet
2. Calculate the area of the ceiling:
The area of the ceiling is the same as the area of the floor, which is the length times the width. Area of ceiling = Length * Width = 40 * 25 = 1000 square feet
3. Calculate the area of the windows and door: The area of each window is given as 1 foot by 3 feet, so the total area of all three windows is:
Area of windows = 3 * (1 * 3) = 9 square feet The area of the door is given as 7 feet by 3 feet: Area of door = 7 * 3 = 21 square feet
4. Calculate the total area to be painted:
Total area to be painted = Area of walls + Area of ceiling - Area of windows - Area of door
Total area to be painted = 1040 + 1000 - 9 - 21 = 2010 square feet
5. Determine the number of cans needed:
Each can of paint covers 450 square feet. Number of cans needed = Total area to be painted / Coverage area per can Number of cans needed = 2010 / 450 ≈ 4.47
Since we can't buy a fraction of a can, Fez should round up to the nearest whole number.
Therefore, Fez should buy 5 cans of paint. So, Fez should buy 5 cans of paint.