12.3 Surface Area of Pyramids and Cones

Question 1

regular pyramid

Answer 1

a pyramid whose base is a regular polygon and the segment from the vertex to the center of the base is perpendicular to the base

Question 2

slant height

Answer 2

the altitude of an lateral face

Question 3

only ______ have slant heights

Answer 3

REGULAR PYRAMIDS

Question 4

surface area of a REGULAR pyramid thm

Answer 4

the surface area, SA, of a regular pyramid is SA=B+1/2P(cursive l)

B= area of the base
P= perimeter of the base
(cursive l)= slant height

Question 5

circular cone (or cone)

Answer 5

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

Question 6

altitude/height of a cone

Answer 6

the perpendicular distance between the vertex and the plan that contains the base

Question 7

right cone

Answer 7

a cone in which the vertex lies directly above (or below) the center of the base

Question 8

slant height of a right cone

Answer 8

the distance between the vertex and a pint on the edge of the base

Question 9

Surface Area of a Right Cone thm,

Answer 9

the surface area, SA, of a right cone is SA= B+ 1/2C(cursive l)

(cursive l) is the slant height

Question 10

pyramid

Answer 10

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

Question 11

if the slant height is missing…
Scenario 1:
Scenario 2:
Scenario 3:

Answer 11

1: right triangle is visible. Use Pythagorean thm
2: given a lateral edge length and a base edge length. Draw a LATERAL FACE (isosc. triangle). Find its altitude (slant height)
3: given height of square pyramid and base edge. Draw a CROSS SECTION (isosc. triangle). Find congruent sides (slant height)