Question

Bianca is painting her room. She plans to paint the ceiling, the door, and the walls all the same color. She is not going to paint her floor. Her room is a rectangular prism shape whose floor is 10 ft by 15 ft. Her walls are 9 ft high. How many total square feet will Bianca paint? _______________________ square feet.

Answer 1

Bianca will paint a total of 579 square feet, which includes the ceiling and the walls minus the area of the door.

Step-by-step explanation:

To calculate the total square feet Bianca will paint in her room, we need to consider the areas of the ceiling, the walls, and the door separately. First, we calculate the area of the ceiling which is also the same as the floor area since Bianca's room is a rectangular prism with a floor measuring 10 ft by 15 ft. Therefore, the area of the ceiling is 10 ft × 15 ft = 150 sq ft.

Next, we need to find the total area of the four walls. The two longer walls are 15 ft long and 9 ft high, so the total area of the longer walls is 2 × (15 ft × 9 ft) = 270 sq ft. The two shorter walls are 10 ft long and 9 ft high, resulting in a total area of 2 × (10 ft × 9 ft) = 180 sq ft. Adding these together, the total area of the walls is 270 sq ft + 180 sq ft = 450 sq ft.

Assuming the door area is standard size (around 21 sq ft), we will subtract this from the wall area since it will not be painted. So, the paintable wall area is 450 sq ft - 21 sq ft = 429 sq ft.

Finally, to find the total square feet Bianca will paint, we add the area of the ceiling and the paintable wall area together: 150 sq ft + 429 sq ft = 579 sq ft. Therefore, Bianca will paint a total of 579 square feet.