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.

58.25 in.258.25 in. squared47.25 in.247.25 in. squared52.25 in.252.25 in. squared55.75 in.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the chocolate pyramid, we need to find the area of each individual face and add them together.

The area of the triangular base can be found using the formula A = 0.5 * base * height, where the base is 5 in. and the height is 4.3 in.
So, the area of the triangular base is A = 0.5 * 5 in. * 4.3 in. = 10.75 in^2.

Now, let's find the area of each triangular face. We can use the formula A = 0.5 * slant height * base, where the slant height is 6 in. and the base is 5 in.
So, the area of each triangular face is A = 0.5 * 6 in. * 5 in. = 15 in^2.

Since there are four triangular faces on the pyramid, the total area of all the triangular faces is 4 * 15 in^2 = 60 in^2.

Now, let's find the total surface area by adding the area of the base and the area of the triangular faces.
The total surface area is 10.75 in^2 + 60 in^2 = 70.75 in^2.

Therefore, the correct answer is 70.75 in^2.

Answer 2

Bot this is wrong!