1. Chapter 11 Surface
Area and Volume
11.2 and 11.4
S

2. Essential Understanding
S You can analyze a 3D figure by using the relationship
among its vertices, edges, and faces
S To find the surface area of a 3D figure, find the sum of
the areas of all the surfaces of the figure
S You can find the volume of a prism or cylinder when you
know its height and the area of its base

3. Objectives
S Students will be able to
S recognize polyhedra and their parts
S Visualize cross sections of space figures
S Find the surface area of a prism and a cylinder
S Find the volume of a prism and the volume of a cylinder

4. Polyhedron
S A space figure, or 3D figure whose surfaces are polygons
S Face: each polygon
S Edge: segment formed by the intersection of two faces
S Vertex: point where three or more edges intersect

5. Euler’s Formula
S # Faces + # Vertices = # Edges + 2

6. Cross Section
S The intersection of a solid and a plane.
S A slice of the solid

7. What is the cross section
formed?

8. Prisms
S Prism: polyhedron with two congruent, parallel faces,
called bases
S Lateral faces: all the other faces

9. Prisms…
S Right prism: the lateral faces are rectangles and a lateral
edge is an altitude
S Oblique Prism: some or all of the lateral faces are
nonrectangular.
S (For this chapter, assume that a prism is a right prism
unless otherwise stated)

10. LA and SA of a Prism
S Lateral Area (LA): sum of the areas of the lateral faces
S LA = ph
S Surface Area (SA): sum of the lateral area and the area
of the two bases
S SA = LA + 2B

11. What is the Surface Area?

12. What is the Surface Area?
Lateral Area?

13. Volume of a Prism
S Volume = Base times height
S V = Bh

16. Cylinder
S Two congruent, parallel bases that are circles

17. LA and SA of a Cylinder
S Lateral Surface Area (LA): circumference of the base and
the height of the cylinder
S LA = 2πr * h
OR
S LA = πdh
S Surface Area (SA): Sum of the lateral surface
area the two bases
S SA = LA + 2B
S SA = 2πrh + 2πr2

19. Volume of a Cylinder
S Volume = Base times height
S V = Bh
S V = πr2h

21. Composite Space Figure
S 3D figure that is a combination of two or more simpler
figures
S To find the volume of a composite space figure, add the
volumes of the figures that are combined

23. Homework
S Pg. 704
S #10 – 20 even, 26 (8 problems)
S Pg. 721
S #6 – 20 even, 38 (9 problems)
S 17 total problems