Question

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. (1 point)
Responses

55.75 in.2
55.75 in. squared

58.25 in.2
58.25 in. squared

52.25 in.2
52.25 in. squared

47.25 in.2
47.25 in. squared

Answer 1

To find the surface area of the chocolate pyramid, we need to calculate the area of the base and the area of the four triangular faces.

The area of the base can be found using the formula for the area of a triangle: A = (1/2) * base * height.
A = (1/2) * 5 in. * 4.3 in.
A = 10.75 in.²

The area of each triangular face can be found using the formula for the area of a triangle: A = (1/2) * base * height.
A = (1/2) * 5 in. * 6 in.
A = 15 in.²

There are four triangular faces, so the total area of the triangular faces is: 4 * 15 in.² = 60 in.²

The total surface area of the chocolate pyramid is the sum of the area of the base and the area of the triangular faces:
Surface area = 10.75 in.² + 60 in.² = 70.75 in.²

Therefore, the correct answer is 70.75 in.²

Answer 2

When creating the formula for surface area of a triangular pyramid (SA=12ab+3(12lb)), what formula is being used?(1 point)
Responses

area of a triangle
area of a triangle

volume
volume

perimeter
perimeter

area of a square
area of a square

Answer 3

The correct formula being used to calculate the surface area of a triangular pyramid is "SA = 1/2ab + 3(1/2)lb", not one of the options provided.