Chapter 12.3: Surface Area of Pyramids and Cones

Question 1

Pyramid

Answer 1

a polyhedron in which the base is a polygon and the lateral faces are triangles that have a common vertex.

Question 2

Regular Pyramid

Answer 2

a pyramid is regular if its base is a regular polygon and of the segment from the vertex to the center of the base is perpendicular to the base.

Question 3

Thm. 12.4 - Surface Area of a Regular Pyramid

Answer 3

the surface area, S, of a regular pyramid is S=B+.5Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height.

Question 4

Circular Cone

Answer 4

a solid that has a circular base and a vertex that is not in the same plane as the base.

Question 5

Right Cone

Answer 5

one in which the vertex lies directly above the center of the base.

Question 6

Thm. 12.5 - Surface Area of a Right Cone

Answer 6

the surface area, S, of a right cone is S=3.14r2 + 3.14rl, where r is the radius of the base and l is the slant height of the cone.