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MJ2A

MJ2A. Ch 11.2 – Volume: Prisms & Cylinders. Bellwork. Draw & classify the 3-dimensional figures. 1. 2. 4. 3. Before we begin…. Please take out your notebook and get ready to work… Continuing with the theme of 3-dimensional figures…today we will look at volume

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MJ2A

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  1. MJ2A Ch 11.2 – Volume: Prisms & Cylinders

  2. Bellwork • Draw & classify the 3-dimensional figures 1. 2. 4. 3.

  3. Before we begin… • Please take out your notebook and get ready to work… • Continuing with the theme of 3-dimensional figures…today we will look at volume • Raise your hand if you can tell me what volume is…

  4. Objective • Students will find the volume of prisms and cylinders

  5. Volume • Volume is the measure of space occupied by a solid. • For both prisms and cylinders there is a formula to calculate volume. • When calculating volume use the formula method • Write the formula • Substitute • Do the math Let’s look at an example…

  6. Volume of a Prism • Simply stated the volume of a prism is the length x width x height. • However, if you look at the formula you will see that: V = Bh Where B is base and h is height • In this formula the B represents length x width. • Let’s look at an example…

  7. Volume of a Prism V = Bh V = (l ∙ w)h V = (4 ∙2)7.5 V = 8 ∙ 7.5 V = 60 in3 7.5 in 2 in 4 in

  8. Your Turn • In the notes section of your notebook draw the figure and calculate volume 1. 8 m 16 m 25 m

  9. Volume of Cylinders • The formula for the volume of a cylinder is: V = πr2h • πr2 represents the area of the ends of the cylinder • Let’s look at an example

  10. Volume of a Cylinder V = πr2h V = (3.14)(52)(15) V = (3.14)(25)(15) V = (3.14)(375) V = 1177.5 ft3 5 Ft 15 Ft

  11. Your Turn • In the notes section of your notebook draw the figure, and then calculate volume 1. 7 m 14 m

  12. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson • Today we discussed • Volume of prisms and cylinders • What strategy will you use to calculate the volume?

  13. Assignment • Text p. 566 # 11 – 16 • Note: • This assignment is due tomorrow • You do not have to draw the figure • You must show me the formula method • The formula for a triangular prism is V = ½ (l ∙ w)h

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