10.2.2 Surface Area of Pyramids and Cones

Question 1

vertex of a pyramid

Answer 1

the point opposite the base of the pyramid

Question 2

base of a regular pyramid

Answer 2

it is a regular polygon, and the lateral faces are congruent isosceles triangles

Question 3

slant height of a regular pyramid

Answer 3

the distance from the vertex to the midpoint of an edge of the base

Question 4

altitude of a pyramid

Answer 4

the perpendicular segment from the vertex to the plane of the base

Question 5

vertex of a cone

Answer 5

the point opposite the base

Question 6

axis of a cone

Answer 6

the segment with endpoints at the vertex and the center of the base

Question 7

axis of a right cone

Answer 7

perpendicular to the base

Question 8

axis of an oblique cone

Answer 8

not perpendicular to the base

Question 9

slant height of a right cone

Answer 9

distance from the vertex of a right cone to a point on the edge of the base

Question 10

altitude of a cone

Answer 10

perpendicular segment from the vertex of the cone to the plane of the base

Question 11

Lateral Area of a Regular Pyramid

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Answer 11

The lateral area of a regular pyramid with perimeter P and slant height L is L = 1/2PL

Question 12

Surface Area of a Regular Pyramid

Answer 12

The surface area of a regular pyramid with lateral area Land base area B is S = L + B, or S = 1/2PL + B

Question 13

Lateral Area of a Right Cone

Answer 13

The lateral area of a right cone with radius r and slant height L is L = πrL

Question 14

Surface Area of a Right Cone

Answer 14

The surface area of a right cone with lateral area L and base area B is S = L + B, or S = πrL + πr2