WarmUp Describe the cross section shown 12 1
Warm-Up • Describe the cross section shown:
12. 1 WS Answers
Section 12. 2 Notes: Surface Areas of Prisms and Cylinders
Vocabulary! Lateral Faces Bases (Add in) Lateral Edges Altitude In a solid figure, the faces that are not bases Non-lateral faces The segments where the lateral faces intersect each other; these segments will be parallel and congruent a perpendicular segment that joints the bases
Vocabulary! Base Edges Height The edges of the base of the solid The height of the solid *this is the altitude *must be perpendicular to the bases
Label the Parts
Vocabulary! Lateral Area The sum of the area of the lateral faces The lateral area L of a right prism is: Lateral Area of a Prism L = Ph where h is the height of the prism and P is the perimeter of the base
With a highlighter, Identify the base of the given figures. Example 1: a. b. c.
Example 2: The length of each side of the base of a regular octagonal prism is 6 inches, and the height is 11 inches. Find the lateral area.
Example 3: Lateral Area of a Prism Find the lateral area of the prism. Round your answers to the nearest hundredth.
You Try! Example 4: Find the lateral area of the prism.
Vocabulary! Surface area of a prism is the sum of the lateral area and the area of the bases The surface area S of a right prism is: Surface Area of a Prism S = 2 B + L where L is the lateral area and B is the area of the base OR S = 2 B + Ph where P is the perimeter of the base and h is the height of the solid
Example 5: Find the surface area of the rectangular prism
Example 6: Find the surface area of a triangular prism. Round to the nearest tenth.
Example 7: Find the surface area of the regular hexagonal prism.
You Try! Example 8: Find the surface area of the regular pentagonal prism.
Grades: 1 st Period
Grades: 4 th Period
Grades: 7 th Period
Warm-Up: p. 22 Find the lateral area and surface area of each prism. 1.
Homework Answers: p. 24 #1 - 6 1) 2) 3) 4) 5) 6) L = 120 m 2; S = 132 m 2 L = 460 in 2; S = 700 in 2 L = 540 in 2; S = 663. 9 in 2 L = 588 cm 2; S = 828 cm 2 L = 128 in 2; S = 224 in 2 L = 384 m 2; S = 467. 14 m 2
Vocabulary! Lateral Area of a Right Cylinder
Vocabulary! Surface Area of a Right Cylinder
Example 9: Find the lateral area and the surface area of the cylinder. Round to the nearest thousandth.
Example 10: Find the lateral area and the surface area of the cylinder. Round to the nearest tenth.
You Try! Find the lateral area and surface area of each cylinder. Round to the nearest tenth. a.
You Try! Find the lateral area and surface area of each cylinder. Round to the nearest tenth. b.
Summary! Find the lateral area and surface area of each prism. 1.
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