Question

In this section, you’ll solve problems involving surface area and perimeter.

You plan to set up a room in your basement for video streaming. The room needs proper lighting, good sound quality, and an appealing appearance for your audience.

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.

What's the total surface area of the four walls and the ceiling?

Ignore any windows or doors.
Question 4 options:

712 ft.2

556 ft.2

1,248 ft.2

356 ft.2

Answer 1

Surface area = 2*(length*height) + 2*(width*height) + (length*width)
= 2*(13*8) + 2*(12*8) + (13*12)
= 2*104 + 2*96 + 156
= 208 + 192 + 156
= 556 ft²

Answer: 556 ft².