10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Objectives
Lateral Faces & Bases
Learn and apply the formula for the surface area of
a prism.
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Learn and apply the formula for the surface area of
a cylinder.
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Vocabulary
lateral face
lateral edge
right prism
oblique prism
right cylinder
surface area
lateral surface
axis of a cylinder
altitude
oblique cylinder
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Lateral Area & Area of the Bases
An altitude of a prism or cylinder is a perpendicular segment joining the
planes of the bases.
The height of a three-dimensional figure is the length of an altitude.
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Practice: Finding Lateral Areas and Surface Areas of Prisms
1. Find the lateral area and surface area of the right
rectangular prism. Round to the nearest tenth, if necessary.
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
Practice: Finding Lateral Areas and Surface Areas of Prisms
2. Find the lateral area and surface area of the right
rectangular prism. Round to the nearest tenth, if necessary.
10-4 Surface Area of Prisms and Cylinders
Lateral Surface & Bases of Cylinders
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Holt Geometry
Holt Geometry
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10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Practice: Finding Lateral Areas and Surface Areas of Right Cylinders
3. Find the lateral area and surface area of the right cylinder.
Give your answers in terms of π.
Remember!
Always round at the last step of the problem. Use the
value of π given by the π key on your calculator.
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
Practice: Finding Surface Areas of Composite 3-D Figures
4. Find the surface area of the composite figure.
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
Practice
5. Find the surface area of the composite figure. Round to the
nearest tenth.
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Practice
Find the surface area of the composite figure. Round to the
nearest tenth.
Practice
Find the surface area of the composite figure. Round to the
nearest tenth.
7.
6.
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
10-4 Surface Area of Prisms and Cylinders
Practice: Exploring Effects of Changing Dimensions
8. The edge length of the cube is tripled. Describe the effect on
the surface area.
Practice
9. The sides of the prism are multiplied by ½. Describe the
effect on the surface area.
Text
24 cm
Holt Geometry
Holt Geometry
10-4 Surface Area of Prisms and Cylinders
Practice
10. The height and diameter of the cylinder are multiplied by 2/5.
Describe the effect on the surface area.
Holt Geometry