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**lateral area – area around a three dimensional figure excluding the bases**

Vocabulary

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Concept

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**Find the lateral area of the regular hexagonal prism.**

Lateral Area of a Prism Find the lateral area of the regular hexagonal prism. Find the lateral area of the regular octagonal prism. Example 1

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**Find the surface area of the rectangular prism.**

Surface Area of a Prism Find the surface area of the rectangular prism. Example 2

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**Find the surface area of the triangular prism.**

A. 320 units2 B. 512 units2 C. 368 units2 D. 416 units2 Example 2

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Concept

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**Lateral Area and Surface Area of a Cylinder**

Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. Example 3

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**A. lateral area ≈ 1508 ft2 and surface area ≈ 2412.7 ft2 **

Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. A. lateral area ≈ 1508 ft2 and surface area ≈ ft2 B. lateral area ≈ 1508 ft2 and surface area ≈ ft2 C. lateral area ≈ 754 ft2 and surface area ≈ ft2 D. lateral area ≈ 754 ft2 and surface area ≈ ft2 Example 3

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**Find Missing Dimensions**

MANUFACTURING A soup can is covered with the label shown. What is the radius of the soup can? Example 4

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Find the diameter of a base of a cylinder if the surface area is 480 square inches and the height is 8 inches. A. 12 inches B. 16 inches C. 18 inches D. 24 inches Example 4

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Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall 186.7 ft3 2. cone with radius.

Warm Up Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. rectangular pyramid 7 ft by 8 ft by 10 ft tall 186.7 ft3 2. cone with radius.

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