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Surface Area of Prisms and CylindersPowerPoint Presentation

Surface Area of Prisms and Cylinders

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Surface Area of Prisms and Cylinders

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Surface Area of Prisms and Cylinders

Lesson 9-8

- 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.

Triangles

A = ½ bh

A = ½ (26)(18)

8 cm

A = ½ (468)

18 cm

A = 234 cm2

26 cm

2 Tri’s: 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 Rect’s: 208 x 2 = 416 cm2

S.A. = 468 cm2 + 144 cm2 + 416 cm2

S.A. = 1,028 cm2

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

A = s2

A = 72

A = 49 in2

7 in

S.A. = 49(6)

S.A. = 294 in2

- 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.

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 = 2r

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

S.A. = 157 m2 + 502.4 m2

S.A. = 659.4 m2