Question

A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 in., the height of the base is 4.3 in., and the slant height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid. (1 point) Responses 47.25 in.2 47.25 in. squared 58.25 in.2 58.25 in. squared 55.75 in.2 55.75 in. squared 52.25 in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula to find the surface area of a triangular pyramid is:

Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height

First, let's find the base area:

Base Area = (1/2) * base length * height of base
= (1/2) * 5 in * 4.3 in
= 10.75 in²

Next, let's find the perimeter of the base:

Perimeter of Base = sum of all side lengths
= 5 in + 5 in + 5 in
= 15 in

Now, let's substitute the values into the formula:

Surface Area = 10.75 in² + (1/2) * 15 in * 6 in
= 10.75 in² + 7.5 in * 6 in
= 10.75 in² + 45 in²
= 55.75 in²

Therefore, the surface area of the chocolate pyramid is 55.75 in².