The correct formula to find the surface area of a triangular pyramid is:
Surface Area = base area + (1/2)(perimeter of base)(slant height).
First, let's find the base area:
Base area = (1/2)(base length)(height of base)
Base area = (1/2)(5 in)(4.3 in)
Base area = 10.75 in^2
Next, let's find the perimeter of the base:
Perimeter of base = sum of all side lengths of the triangle
Perimeter of base = 5 in + 5 in + 4.3 in
Perimeter of base = 14.3 in
Now, let's calculate the surface area:
Surface Area = base area + (1/2)(perimeter of base)(slant height)
Surface Area = 10.75 in^2 + (1/2)(14.3 in)(6 in)
Surface Area = 10.75 in^2 + 42.9 in^2
Surface Area = 53.65 in^2
Therefore, the correct surface area of the chocolate pyramid is 53.65in^2.
None of the given answer choices are correct.
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) 52.25in .^ 2; 55.75in .^ 2; 58.25in .^ 2; 47.25in .^ 2
1 answer
1 answer