Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic...

18

Click here to load reader

description

Volume of a Prism Formula: V = area of base · height V = B ·h

Transcript of Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic...

Page 1: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Chapter 12Volume

Page 2: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Volume• Number of cubic units contained in a 3-D

figure– Answer must be in cubic units ex. in3

Page 3: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Volume of a Prism

• Formula: V = area of base · height

V = B ·h

Page 4: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Examples

• Find the volume of each solid1.

4m5m

6m

Page 5: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

2.

8 ft

2 ft

2 ft

Page 6: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

3.

5 in

5 in

5 in

Page 7: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

4. Rectangle: 3 ft by 2 ft by 2 ft

Page 8: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Volume of a Cylinder• Formula: V = area of base · height

V = B ·hV = ( · h)

2r

Page 9: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Find the volume of each cylinder

1.

35cm

8cm

Page 10: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

2. Cylinder: r = 3 cm, h = 25 cm

Page 11: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Volume of a PyramidFormula:

3BhV

Page 12: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Examples: Find the volume

1.

4 in

4 in

7 in

Page 13: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

2.

6 m2.3 m

5 m

Page 14: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

3.

6 in

4.5 in

8 in

Page 15: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Volume of a Cone• Formula:

3BhV

Page 16: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

Examples: Find the volume

1.

6 cm

2 cm

Page 17: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

2.

8.6 cm12 cm

Page 18: Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure Answer must be in cubic units ex. in 3.

3. Cone: r = 28 in h = 44 in