Question

A triangular pyramid has lateral faces with bases of 4 meters and heights of 13 meters. The area of the base of the pyramid is 6.9 square meters. What is the surface area of the pyramid?

Answer 1

84.9m²

Explanation:

Surface area Formula

`SA = A + (3)/(2) bh`

A is the area if the base, b is the length of the base on one of the faces and h is the height of one of the faces.

`a = 6.9`

`b = 4`

`h = 13`

Formula

`SA = 6.9 + (3)/(2) (4 * 13`

`SA = 6.9 + (3)/(2) (52)`

`SA = 6.9 + 78`

`SA = 84.9`

The surface area is 84.9m²