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Surface Area of Prisms and Cylinders

- Lesson 9-8

Vocabulary

- A net is a pattern you can fold to form a

three-dimensional figure.

This is a net for a triangular prism.

- The surface area of a three-dimensional figure is

the sum of the areas of its surfaces. - Find the area of each surface, and add all the

areas together.

Example 1

Triangles

A ½ bh

A ½ (26)(18)

8 cm

A ½ (468)

18 cm

A 234 cm2

26 cm

2 Tris 234 x 2 468 cm2

Left Rectangle

Front and Back Rectangles

A lw

A lw

A (26)(8)

A (18)(8)

A 208 cm2

A 144 cm2

2 Rects 208 x 2 416 cm2

Add up the areas to find surface area.

S.A. 468 cm2 144 cm2 416 cm2

S.A. 1,028 cm2

Surface Area of a Cube

- A cube has 6 congruent square faces.
- Find the area of one face, and multiply it by 6.

Example

A s2

A 72

A 49 in2

7 in

S.A. 49(6)

S.A. 294 in2

Surface Area of a Cylinder

- A cylinder consists of two circle bases and one

rectangular side. - The length of the rectangle is equal to the

circumference of the circle. - Find the area of the circles and add it to the

area of the rectangle.

Example

Rectangle

5 m

The width of the rectangle is the height of the

cylinder (16 m). The length of the rectangle is

the circumference of the circle.

16 m

Area of the circles

C 2?r

C 2(3.14)(5)

A ?r2

C 31.4 m

A 3.14(52)

A lw

A 3.14 (25)

A 31.4(16)

A 78.5 m2

A 502.4 m2

2 circles 78.5 x 2 157 m2

Put the areas together

S.A. 157 m2 502.4 m2

S.A. 659.4 m2

Homework Time

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