Surface Area of Prisms and Cylinders

1
Surface Area of Prisms and Cylinders

• 6.2

2
Lateral areas and surface areas of Prisms

• Prism a polyhedron with 2 congruent // bases it
  is named for the shape f its base
• Lateral Faces other faces of a prism not
  including the bases
• Altitude perpendicular segment that joins the
  planes of the bases
• Height- length of an altitude
• Right prism- lateral faces are rectangles and
  lateral edge are is an altitude
• Lateral area- sum of the areas of the lateral
  faces
• Surface area- sum of area of lateral faces and
  bases
• Cube -prism with square faces

3
Lateral and surface area of cylinders

• Cylinder- bases of the cylinder are circles
• Height- length of an altitude
• Lateral Area- area of the resulting rectangle by
  unrolling lateral area
• Surface area- lateral area plus area of bases

4
Prisms
5
Theorem 6.1Lateral and Surface areas of right
prisms

• L.A. product of the perimeter of the base and
  the height
• L.A. ph
• S.A.Sum of the L.A. and the area of the 2 bases
• S.A. L.A. 2B

6
Theorem 6.2Lateral and surface areas of a right
cylinder

• L.A. product of the circumference of the base
  and the height of the cylinder
• L.A. 2 rh or L.A. dh
• S.A L.A. 2b

7
Example

• Find the LA and SA of the prism.

• LA ph
• p 345 12
• h 6
• So LA 12(6) 72
• SA LA 2b
• 72 2(6)
• 84

3
4
6
The triangles area is B ½(3)4 6
8

• Homework
• P. 312 1-12, 20-23