A pastry chef is creating a chocolate dessert in the shape of a triangular pyramid. The pyramid has a base of 5 inches the height of the base 4.3 inches and the slant height is 6 inches. Use the correct formula to find the surface area of the chocolate pyramid.

Answer 1

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

Surface Area = Area of Base + 0.5 * Perimeter of Base * Slant Height

First, calculate the area of the base:

Area of Base = 0.5 * Base * Height = 0.5 * 5 * 4.3 = 10.75 square inches

Next, calculate the perimeter of the base:

Perimeter of Base = 3 * Base = 3 * 5 = 15 inches

Now, plug the values into the formula to find the surface area:

Surface Area = 10.75 + 0.5 * 15 * 6 = 10.75 + 45 = 55.75 square inches

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