chapter_9_notes_2.doc

CHAPTER 9: SURFACE AREA AND VOLUME- “Measuring in Space”9.1 Solid Figures

Example 1: Identify and Name Polyhedraa.

b. c.

Example 2: Identify and Name Faces and Edgesa. Name the polyhedron.

b. Determine the number of faces and edges.

c. List any congruent faces and congruent edges.

Example 3: Sketch a PolyhedronSketch a triangular prism: Sketch a triangular pyramid:

9.2 Surface Area of Prisms and CylindersExample 1: Use the Net of a Prism

Find the surface area of the rectangular prism.

Example 2: Find the Lateral Area About how much plastic is used to make a straw that has a diameter of 5

millimeters and a height of 195 millimeters?

Example 3: Find the Lateral Area and Surface Area of a Prism

Example 4: Find the Lateral Area and Surface Area of a Cylinder

Your Turn! Find the lateral area and surface area of each figure.a.

b.

c.

d.

e.

f.

9.3 Surface Area of Pyramids and ConesExample 1: Find the Slant Height

Find the slant height of the pyramid.

Example 2: Find Lateral AreaFind the lateral area of the pyramid.

Find the lateral area of the cone.

Example 3: Find the Lateral Area and Surface Area of a Pyramid

Example 4: Find the Lateral Area and Surface Area of a Cone

9.4 Volume of Prisms and CylindersExample 1: Find the Volume of a Rectangular Prism

Example 2: Find the Volume of a Prisma. b.

Example 3: Find the Volume of a Cylindera.

b.

Your Turn! Find the volume of each figure.a.

b.

c.

d.

e.

f.

Example 4: Compare Volumes of Cylinders

a. How do the radius and height of the mug compare to the radius and height of the dog bowl?

b. How many times greater is the volume of the bowl than the volume of the mug?

9.5 Volume of Pyramids and ConesExample 1: Find the Volume of a Pyramid

a. b.

Example 2: Find the Volume of a Conea.

b.

Example 3: Find the Height of a Cone to find the Volumea.

b.

9.6 Surface Area and Volume of SpheresExample 1: Find the Surface Area of a Sphere

a.

b.

Example 2: Find the Volume of a Sphere

a.

b.

Your Turn! Find the volume and surface area of each sphere.a.

b.

c.

d.. A sphere with a diameter of 9 inches.

e. A sphere with a radius of 2.25 millimeters. f. Find the radius of a sphere that has an area of 201 square inches.