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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Surface Area = area of base + (1/2 x perimeter of base x slant height)

First, calculate the area of the base triangle:
Area of base = (1/2 x base x height)
Area of base = (1/2 x 5 in x 4.3 in)
Area of base = 10.75 sq. in.

Next, calculate the perimeter of the base triangle:
Perimeter of base = 5 in + 5 in + 5 in
Perimeter of base = 15 in

Now, plug these values into the formula:
Surface Area = 10.75 sq.in + (1/2 x 15 in x 6 in)
Surface Area = 10.75 sq.in + 45 sq.in
Surface Area = 55.75 sq.in

Therefore, the surface area of the chocolate pyramid is 55.75 square inches.