Question

your first task is to paint the four walls and the ceiling of the room. to determine how much paint to buy, you must calculate the surface area of the four walls and the ceiling.
the room has the following dimensions:
width: 12 ft.
length: 13 ft.
height: 8 ft.
whats the total surface area of the four walls and the ceiling?
ignore any windows or doors.

Explanation:

Step1: Calculate the area of the ceiling

The area of the ceiling is calculated by multiplying the length and the width of the room.

$$ 13\times12 = 156 $$

Step2: Calculate the area of the two walls with length and height

The area of two walls with length \(l = 13\) ft and height \(h=8\) ft is \(2\times(l\times h)\)

$$ 2\times(13\times8)=2\times104 = 208 $$

Step3: Calculate the area of the two walls with width and height

The area of two walls with width \(w = 12\) ft and height \(h = 8\) ft is \(2\times(w\times h)\)

$$ 2\times(12\times8)=2\times96=192 $$

Step4: Calculate the total surface area

Add the area of the ceiling and the areas of all four walls.

$$ 156+208 + 192=556 $$

Answer:

\(556\) square feet