Question

What is the surface area of this triangular pyramid?

Answer 1

48.25 in^2

Explanation:

The formula for the surface area of a pyramid is:

`SA=B+(1)/(2)l(number of base sides)(b)`

B represents the area of the base, which in this case is a triangle. We will figure out the area of the base first, using the formula for the area of a triangle.

`A=(1)/(2)bh`

`A=.5*5*4.3`

A = 10.75

Now we can plug in 10.75 for B.

`SA=10.75+.5*5*3*5`

The cursive L will be the lateral height, which is 5. Since there are 3 sides on the base we can put that in for the number of base sides, and the base is 5.

`SA=`

48.25 in^2