10-4: Surface Areas of Pyramids and Cones
Objective: To find the surface area of a pyramid and a cone.
Finding Surface Area of a Pyramid:
 A _________ _ is a polyhedron in which the
______
can be any polygon. The other
faces are called __________________, and are
triangles.The point where all of the lateral faces
meet is called the _______________________
A pyramid is named by
____________________________________.
 The ________________, or _____________ of
a pyramid is the ______________________
segment from the vertex to the base.
 In a _______________________, the base is a
regular polygon, and the lateral faces are
_____________________________________.
 The _______________________ is the altitude of a ______________________
of a pyramid.
___________________: The sum of the areas of the congruent lateral faces.
(The triangles)
FORMULA
__________________: The sum of the lateral area and the area of the base.
(S.A. = L.A. + B)
FORMULA
Example 1: Find the surface area of the hexagonal pyramid (base is a hexagon):
S.A. = L.A. + B
= ___________________
= ___________________
=
≈ ___________________
Example 2:
You try:
Find the surface area of the square pyramid:
S.A. = L.A. + B
=_________________
=_________________
=_________________
=
Finding the Surface Area of a Cone:
 A ______
is pointed like a pyramid, but its
_____________________________________.
 In a _______________
, the _____________, or
_______________, is a perpendicular segment from the vertex
to the center of the base.
 The _________________________ is the distance from the vertex to a
point on the edge of the base.
The
for a cone is ½ the perimeter (circumference)
base times the slant height.
( L.A. = ½ (2πr) ℓ
of the
FORMULA
 The
base area.
is the same for a cone as a pyramid: lateral area +
(S.A. = L.A. + B)
FORMULA
Example 3:
Find the surface area of the cone:
S.A. = L.A. + B
= ________________
= ________________
= ________________
= ________________
Example 4:
You try:
Find the surface area of the cone:
S.A. = L.A. + B
= ___________________
= ___________________
= ___________________
= ___________________
Assignment: _____________________________________________