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)
Responses
55.75 in.2
55.75 in. squared
58.25 in.2
58.25 in. squared
47.25 in.2
47.25 in. squared
52.25 in.2
52.25 in. squared
To find the surface area of a triangular pyramid, you need to know the base area and the lateral area.
The formula for the base area of a triangular pyramid is: 0.5 * base * height of base
Plugging in the values given, we get: 0.5 * 5 in. * 4.3 in. = 10.75 in.2
The formula for the lateral area of a triangular pyramid is: base * slant height / 2
Plugging in the values given, we get: 5 in. * 6 in. / 2 = 15 in.2
To find the total surface area, you add the base area and the lateral area: 10.75 in.2 + 15 in.2 = 25.75 in.2
Therefore, the correct answer is: 25.75 in.2