Question

A figure of a rectangular pyramid is shown.

A rectangular pyramid with a base of dimensions 6 meters by 6 meters. The triangular faces have a height of 11 meters.

Which of the following is the surface area of the pyramid?

84 m2
132 m2
168 m2
336 m2

Answer 1

Therefore, the surface area of the pyramid is 168 m2.

Explanation:

To calculate the surface area of the rectangular pyramid, we need to find the area of each face and add them together.

The area of the base is:

6 meters x 6 meters = 36 square meters

There are four triangular faces of the pyramid. To find the area of each triangular face, we need to first find the area of the base of the triangle (which is half of the base of the rectangular pyramid) and then multiply by the height of the triangle.

The area of the base of each triangular face is:

(1/2) x 6 meters = 3 meters

The area of each triangular face is:

3 meters x 11 meters = 33 square meters

The total surface area of the pyramid is:

36 square meters (area of the base) + 4 x 33 square meters (area of each triangular face) = 168 square meters