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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular pyramid, we need to find the sum of the areas of the four triangular faces.

The formula for the surface area of a triangular pyramid is:

Surface Area = base area + (0.5 * perimeter of base * slant height)

First, let's find the area of the base. Since the base is a triangle, we can use the formula for the area of a triangle:

Area of Base = (base * height of base) / 2

Area of Base = (5 * 4.3) / 2 = 10.75 square inches

Now, let's find the perimeter of the base. Since the base is a triangle, we can use the formula for the perimeter of a triangle:

Perimeter of Base = sum of all sides of the base

Perimeter of Base = 5 + 5 + 6 = 16 inches

Finally, let's substitute the values into the formula for the surface area:

Surface Area = 10.75 + (0.5 * 16 * 6)

Surface Area = 10.75 + (0.5 * 96)

Surface Area = 10.75 + 48

Surface Area = 58.75 square inches

Therefore, the surface area of the chocolate pyramid is 58.75 square inches.

Answer 2

58.25 in.258.25 in. squared47.25 in.247.25 in. squared52.25 in.252.25 in. squared55.75 in.2