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**Surface Area: Prisms and Cylinders**

Lesson 11-4 Pages Surface Area: Prisms and Cylinders

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**What you will learn! How to find surface area of prisms.**

How to find surface area of cylinders.

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Vocabulary Surface area

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**What you really need to know!**

To find the surface area S of a rectangular prism with length l, width w, and height h, use the formula: S = 2lw + 2lh + 2wh.

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**What you really need to know!**

To find the surface area S of a triangular prism, find the area of each face, then add to find the total surface area.

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**What you really need to know!**

To find the surface area S of a cylinder with radius r and height h, use the formula: S = 2r2 + 2rh

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**Link to Pre-Made Lesson**

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

Example 1: Find the surface area of the rectangular prism:

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S = 2lw + 2lh + 2 wh S = 2•34•21 + 2•34•4 + 2•21•4

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S = 1, S = 1,868 cm2

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

Example 2: Find the surface area of the triangular prism. A triangular prism is made up of 2 triangles and 3 rectangles.

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Example 2: Find the surface area of the triangular prism. 2(½ x 12 x 16) + (20 x 3) + (16 x 3) + (12 x 3) 336 m2

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Example 3: Find the surface area of the cylinder. Round to the nearest tenth. S = 2r2 + 2rh S = 2• •2.5•8 S = m2

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Example 4: A company packages its cereal in a rectangular prism that is 2.5 in. by 7 in. by 12 in. It is considering packaging it in a cylinder-shaped container having a 6-in. diameter and a height of 7.5 in. Which uses the least amount of packaging?

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**S = 2lw + 2lh + 2 wh S = 263 in2 S ≈ 197.9 in2 S = 2r2 + 2rh**

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Page 576 Guided Practice #’s 3-8

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**Pages 573-575 with someone at home and study examples!**

Read: Pages with someone at home and study examples!

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Homework: Pages #’s 9-18, 25, 26, 30, 31

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**Odd Answers in Back of Book!**

Prepare for Mid-Test! Pages #’s 9-20 Odd Answers in Back of Book!

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Page 751 Lesson 11-4

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Page 576 # 11 10 m 9 m 6 m 8 m 8 m

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Page 576 # 11 10 m 9 m 6 m 8 m 8 m

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