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 = Base Area + (0.5 × perimeter of base × slant height)

In this case:
Base Area = 0.5 × base × height of base
Perimeter of base = sum of lengths of all sides of the base

Therefore, to find the surface area of the chocolate pyramid:
Base Area = 0.5 × 5 in. × 4.3 in.
Perimeter of base = sum of lengths of all sides of the base = 5 in. + 5 in. + 5 in. = 15 in.

Surface Area = (0.5 × 5 in. × 4.3 in.) + (0.5 × 15 in. × 6 in.)
= 10.75 in^2 + 45 in^2
= 55.75 in^2

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