Download 10-3 Surface Area of Prisms and Cylinders M11.C.1 - miss

10-3 Surface Area of Prisms and
Cylinders
M11.C.1 2.2.11.A
OBJECTIVES:
1) TO FIND THE SURFACE AREA OF A PRISM.
2) TO FIND THE SURFACE AREA OF A CYLINDER.
PDN:
PG. 528 #1
Vocab
 A prism is a polyhedron with two congruent parallel
faces. They are the bases. Other faces are lateral
faces. You name a prism by the shape of its base.
 An altitude of a prism is a perpendicular segment
that joins the planes of the bases. The height of the
prism is the length of an altitude.
Pentagonal Prism
Triangular Prism
Right Prism
Oblique Prism
Vocab
 The lateral area of a prism is the sum of the areas of
the lateral faces. The surface area is the sum of the
lateral area and the area of the two bases.
Examples: Finding Surface Area
Examples: Finding Surface Area
Examples: Finding Surface Area
Vocab
 Like a prism, a cylinder has two congruent parallel
bases. However, the bases of a cylinder are circles.
An altitude of a cylinder is a perpendicular segment
that joins the planes of the bases. The height h of a
cylinder is the length of an altitude.
Right Cylinder
Theorem: Lateral & Surface Area of a Cylinder
 The lateral area of a right cylinder is the product of
the circumference of the base and the height of the
cylinder.
 L.A. = 2Πrh or L.A. = Πdh
 The surface area of a right cylinder is the sum of the
lateral area and the areas of the two bases.
 S.A. = L.A. + 2B or S.A. = 2Πrh + 2Πr²
Cylinder
Example: Finding Surface Area of a Cylinder
 The radius of the base of a cylinder is 6 feet and its
height is 9 feet. Find its surface area in terms of Π.
Check Understanding Pg. 531 #3