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 slanted height is 6 in. Use the correct formula to find the surface area of the chocolate pyramid. (1 point)

55.75 in^2
58.25 in.^ 2
52.25 in.^2
47.25 in.^2

1 answer

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

The formula for the surface area of a triangular pyramid is:
Surface area = ½ × base × slant height + 3 × ½ × base × height

Plugging in the given values:
Surface area = ½ × 5 × 6 + 3 × ½ × 5 × 4.3
Surface area = 15 + 3 × 5 × 4.3
Surface area = 15 + 64.5
Surface area = 79.5

Therefore, the correct answer is 79.5 in².