Name: ____________________________ Date: __________ Per: ______________
Surface Area of Prisms and Cylinders
Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface
is called a face. An edge is the segment that is the intersection of two faces. A vertex is the point
that is the intersection of three or more faces.
Each face of a solid figure is called either a base or a lateral face.
Solid figures generally have one or two bases. If it has two, these
bases are parallel. If a figure has two parallel bases and lateral faces,
such as in a prism, the bases will be perpendicular to the lateral faces.
A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of
their bases.
A polyhedron is formed by four or more polygons that intersect only at their edges. Prisms and
pyramids are polyhedrons, but cylinders and cones are not.
Warm - UP
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Mini - Lesson
Prisms and cylinders have 2 congruent parallel bases.
A lateral face is not a base. The edges of the base are called base edges. A lateral edge is not an
edge of a base. The lateral faces of a right prism are all rectangles. An oblique prism has at
least one nonrectangular lateral face.
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Example 1: Find the Lateral area and Surface Area.
Example 2: Find the Lateral area and Surface Area.
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Example 3: Find the Lateral area and Surface Area.
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Example 4: Find the Lateral area and Surface Area.
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Example 5: Find the Lateral area and Surface Area.
9m
6m
L = PH
Step 1: Determine the shape of the base.
Shape is a ___________
L=
L = ______
S = L + 2B
S = ____ + 2 (
)
S = ______
Summary
1. Write the formula to calculate the Lateral Area and Surface Area for
all Prism.
2. Write the formula to calculate the Lateral Area and Surface Area for a
cylinder.
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1.
Homework
Calculate the Lateral Area and Surface Area of each Prism and Cylinder. Round
your answer to the nearest tenth if necessary.
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