CHAPTER 9: SURFACE AREA AND VOLUME- “Measuring in Space”
9.1 Solid Figures
Example 1: Identify and Name Polyhedra
a.
b.
c.
Example 2: Identify and Name Faces and Edges
a. Name the polyhedron.
b. Determine the number of faces and
edges.
c. List any congruent faces and congruent
edges.
Example 3: Sketch a Polyhedron
Sketch a triangular prism:
Sketch a triangular pyramid:
9.2 Surface Area of Prisms and Cylinders
Example 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 Cones
Example 1: Find the Slant Height
Find the slant height of the pyramid.
Example 2: Find Lateral Area
Find 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 Cylinders
Example 1: Find the Volume of a Rectangular Prism
Example 2: Find the Volume of a Prism
a.
b.
Example 3: Find the Volume of a Cylinder
a.
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 Cones
Example 1: Find the Volume of a Pyramid
a.
b.
Example 2: Find the Volume of a Cone
a.
b.
Example 3: Find the Height of a Cone to find the Volume
a.
b.
9.6 Surface Area and Volume of Spheres
Example 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.