Question

A right rectangular pyramid with a height of 12 centimeters is shown.

12 cm
10 cm
8 cm
What is the surface area of the pyramid to the nearest square centimeter?
Type the correct answer in the box. Use numerals Instead of words.
The surface area of the rectangular pyramid is about
square centimeters.

Answer 1

Explanation:

In this case, the base of each triangular face is 8 cm and the height is 12 cm. Therefore, the area of each triangular face is 1/2 * 8 * 12 = 48 square centimeters.

The lateral surface area is 4 * 48 = 192 square centimeters.

The total surface area is 120 + 192 = 312 square centimeters.

To the nearest square centimeter, the surface area of the pyramid is about 312 square centimeters.

Here is the calculation in more detail:

Area of base = 12 * 10 = 120 square centimeters

Area of triangular face = 1/2 * base * height = 1/2 * 8 * 12 = 48 square centimeters

Lateral surface area = 4 * 48 = 192 square centimeters

Total surface area = 120 + 192 = 312 square centimeters

Surface area of the pyramid is about 312 square centimeters