9.4 Surface Area of 3D Figures

Unit 9: Area and Volume

9.4 Surface Area of 3D Figures

Multiple Choice

2. The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?

• A = ½bh - 2πr

• A = πr² - ½bh

• A = ½bh - πd

• A = ½bh - πr²

1. Vocabulary

1. Surface Area- The combined area of all the faces of a three dimensional figure.

2. Three Dimensional Figures- Figures with a width, length, and height.

3. Net- all the faces of a 3-dimensional figure drawn 2-dimensionally.

2. 3D Figures

​1.

​2.

​3.

4.

5.

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base(s).

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3. How to find Surface Area

Steps:

1. Find the shape of all the faces (determine the net of the figure).

2. Find the area of each face.

3. Add all the areas together to find the surface area.

​Cube

​Cube Net

Match

Match the following.

Rectangular prism

Cube

Triangular Prism

• Rectangular prism

• Cube

• Triangular Prism

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Steps:

1. Find the shape of all the faces (determine the net of the figure).

2. Find the area of each face.

3. Add all the areas together to find the surface area.

​Ex 1. Find the surface area of the cube.

Multiple Choice

Find the surface area of the rectangular prism with the following dimensions: 
length = 11 m
height = 7 m
width = 2 m

• 226 m squared

• 220 m squared

• 150 m squared

• 154 m squared

Multiple Choice

Find the Surface area of the shape?

• 258 m²

• 268 m²

• 248 m²

• 278 m²

Multiple Choice

• 77 cm2

• 17 cm2

• 7 cm2

• 70 cm2

Multiple Choice

Find the surface area of the figure formed by the net with 2 cm ,  3 cm, and 4 cm edges below.

• 40 cm²

• 48 cm²

• 52 cm²

• 62 cm ²

Multiple Choice

Calculate the surface area of the given shape. Round to the nearest tenth.

• 282.7 in²

• 56.5 in²

• 188.5 in²

• 245.0 in²

Multiple Choice

Calculate the surface area.

• 54 m²

• 96 m²

• 99 m²

• 61 m²

Multiple Choice

Calculate the surface area of the pyramid.

• 228 m²

• 144 m²

• 300 m²

• 156 m²