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Chapter 12 Volume

This chapter explores the calculation of volume for various 3D figures, including prisms, cylinders, pyramids, and cones. It provides essential formulas for volume, such as V = area of base × height, with practical examples for each shape. Readers will learn to find the volume of solids using specific dimensions and gain a clear understanding of cubic units. Whether you are a student or a curious learner, this guide will help you navigate the intricacies of calculating volume in a straightforward and engaging manner.

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Chapter 12 Volume

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  1. Chapter 12Volume

  2. Volume • Number of cubic units contained in a 3-D figure • Answer must be in cubic units ex. in3

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

  4. Examples • Find the volume of each solid 1.

  5. 8 ft 2 ft 2 ft 2.

  6. 5 in 5 in 5 in 3.

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

  8. Volume of a Cylinder • Formula: V = area of base · height V = B ·h V = ( · h)

  9. Find the volume of each cylinder 1. 8cm 35cm

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

  11. Volume of a Pyramid Formula:

  12. 7 in 4 in 4 in Examples: Find the volume 1.

  13. 5 m 2.3 m 6 m 2.

  14. 8 in 4.5 in 6 in 3.

  15. Volume of a Cone • Formula:

  16. 6 cm 2 cm Examples: Find the volume 1.

  17. 8.6 cm 12 cm 2.

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

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