A painter is going to paint a room shaped like a cube, with square walls that are 20 ft. on each side. A gallon of paint can be used to cover 400 square feet. How many gallons of paint should the painter buy if he is going to paint the four walls of the room?(1 point)
Responses
5 gallons
5 gallons
1 gallon
1 gallon
6 gallons
6 gallons
4 gallons
The total area of the four walls is given by the formula: Area = 2 * side * height, where side refers to the length of one side of the square wall, and height refers to the height of the cube.
In this case, the side is 20 ft. and the height is also 20 ft., so the area of each wall is 2 * 20 * 20 = 800 sq. ft.
To find the total area of the four walls, we multiply the area of one wall by 4: 800 * 4 = 3200 sq. ft.
Since a gallon of paint can cover 400 sq. ft., the painter will need to buy 3200 / 400 = 8 gallons of paint.
Therefore, the correct answer is: 8 gallons.