We want to calculate the surface area of a triangular pyramid. Let's see the given pyramid.
We can use a net to calculate the surface area of the pyramid. Let's see the net!
The net is made up of four triangles. We will calculate the area of each differently-sized triangle separately, starting with the base. Let's substitute the measures of the base into the formula for the area of a triangle!
The area of the base is 27.6 square inches. Now let's take a look at the sides. Notice that sides of the pyramid are congruent triangles. This means that they have the same area. Let's substitute the measures of the sides into the formula for the area of a triangle and simplify.
We found that the area of one side triangle is 56 square inches. Since the side triangles are congruent, the area of each side triangle is 56 square inches. Now we have all the information that we need to find the total surface area of the triangular pyramid!
Total Surface Area
27.6+ 56+ 56+ 56=195.6in.^2
The total surface area of the triangular pyramid is 195.6 square inches.
