For Monica’s 14th birthday, she wants to make over her bedroom. The first phase in the bedroom makeover is painting her room. If Monica’s room is 20 ft. long, 15 ft. wide, and 9 ft. high, find the surface area of the room that you are going to paint, including the floor and ceiling(1 point)
surface area = square feet
To find the surface area of the room that needs to be painted, including the floor and ceiling, we need to find the surface area of all six sides of the room.
First, let's find the surface area of the walls:
- 2 walls are 20 ft long and 9 ft high, so the total surface area of these two walls is 2 * 20 ft * 9 ft = 360 sq ft.
- 2 walls are 15 ft long and 9 ft high, so the total surface area of these two walls is 2 * 15 ft * 9 ft = 270 sq ft.
Now, let's find the surface area of the ceiling and floor:
- The ceiling is 20 ft long and 15 ft wide, so the surface area of the ceiling is 20 ft * 15 ft = 300 sq ft.
- The floor is the same size as the ceiling, so the surface area of the floor is also 300 sq ft.
Adding all these together:
360 sq ft (walls) + 270 sq ft (walls) + 300 sq ft (ceiling) + 300 sq ft (floor) = 1230 sq ft.
Therefore, the surface area of the room that needs to be painted, including the floor and ceiling, is 1230 sq ft.