Question

A triangular pyramid has a base with an area of 11.3 square meters, and lateral faces with bases of 5.1 meters and heights of 9 meters.

Write an expression that can be used to find the surface area of the triangular pyramid.

Answer 1

Answer:

The Surface Area of the pyramid is

Step-by-step explanation:

The Surface Area Formula for a Triangular Pyramid is the following

SA = p * h / 2 + b

Where:

SA is the total Surface Area

P is the perimeter of the base

H is the slant height of the faces

B is the base area.

Since we have all the information already given except for Surface Area we can plug everything into the formula and solve for SA.

SA = (4 * 5.1m) * 9m / 2 + 11.3m2

SA = 183.6m2 / 2 + 11.3m2

SA = 91.8m2 + 11.3m2

SA = 103.1m2

Now we know that the Surface Area of the pyramid is 103.1m2

I hope this answered your question. :)