Minnie is painting her walkin
closet. Each gallon of paint
covers 275 square feet. The
closet is in the shape of a right
rectangular prism. The floor is 9 feet wide
and 7 feet long. The ceiling is 8 feet high. How
many gallons of paint should Minnie buy to cover the four
walls and the ceiling with two coats of paint?
2 walls are 9x8
2 walls are 7x8
ceiling is 9x7
2(2*9*8 + 2*7*8 + 9*7)/275 = 2.32
so, 3 cans of paint
No
To find out how many gallons of paint Minnie should buy, we need to calculate the total surface area of the four walls and the ceiling.
First, let's calculate the surface area of each wall. Since the closet is in the shape of a right rectangular prism, two walls will have dimensions of 9 feet by 8 feet (width by height), and the other two walls will have dimensions of 7 feet by 8 feet.
The surface area of each of the two larger walls is:
9 feet * 8 feet = 72 square feet.
The surface area of each of the two smaller walls is:
7 feet * 8 feet = 56 square feet.
The surface area of the ceiling is:
9 feet * 7 feet = 63 square feet.
Next, let's calculate the total surface area of the four walls and the ceiling:
Total surface area = 2 * (72 square feet) + 2 * (56 square feet) + 63 square feet
Total surface area = 144 square feet + 112 square feet + 63 square feet
Total surface area = 319 square feet.
Since Minnie wants to apply two coats of paint, we need to multiply the total surface area by 2:
Total surface area for two coats = 319 square feet * 2 = 638 square feet.
Now, let's divide the total surface area for two coats by the coverage of one gallon of paint (275 square feet per gallon) to find out how many gallons Minnie should buy:
Gallons of paint = Total surface area for two coats / Coverage per gallon
Gallons of paint = 638 square feet / 275 square feet per gallon
Gallons of paint ≈ 2.32.
Therefore, Minnie should buy approximately 2.32 gallons of paint to cover the four walls and the ceiling with two coats of paint. Since you can't buy a fraction of a gallon, it would be best for Minnie to buy 3 gallons of paint.
To find out how many gallons of paint Minnie should buy, we need to calculate the total surface area that needs to be covered, and then divide that by the coverage of one gallon of paint.
Step 1: Calculate the surface area of the four walls.
The closet is in the shape of a right rectangular prism, so it has six faces - four walls, a floor, and a ceiling. To find the area of the four walls, we need to find the area of the front, back, left, and right walls.
The front and back walls have the same dimensions as the floor since their width is 9 feet and height is 8 feet. So, the area of each of these walls is 9 feet * 8 feet = 72 square feet.
The left and right walls have the same dimensions as the length and height of the closet, which are 7 feet and 8 feet, respectively. So, the area of each of these walls is 7 feet * 8 feet = 56 square feet.
The total area of the four walls is 2(front and back wall area) + 2(left and right wall area) = 2 * (72 square feet) + 2 * (56 square feet).
Step 2: Calculate the area of the ceiling.
The ceiling has the same dimensions as the floor, which is 9 feet * 7 feet = 63 square feet.
Step 3: Calculate the total surface area.
The total surface area that needs to be covered is the sum of the area of the four walls and the area of the ceiling. So, the total surface area is 2 * (72 square feet) + 2 * (56 square feet) + 63 square feet.
Step 4: Calculate the gallons of paint needed.
Since each gallon of paint covers 275 square feet, we divide the total surface area by the coverage of one gallon of paint.
Total gallons of paint needed = (Total surface area) / (Coverage per gallon of paint) = (2 * (72 square feet) + 2 * (56 square feet) + 63 square feet) / 275 square feet per gallon.
Now, you can use a calculator to find the precise value of the total gallons of paint needed.