ch.11-2 volume: prisms and cylinders · 2020-02-25 · volume ! volume is the measure of space...
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Ch.11-2 Volume: Prisms and Cylinders
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Classify the 3-Dimesional Figures
1. 2.
3. 4.
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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
1. Write the formula 2. Substitute 3. Do the math Let�s look at an example…
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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…
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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
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Your Turn
! In the notes section of your notebook draw the figure and calculate volume
1.
25 m
8 m
16 m
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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
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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
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Your Turn
! In the notes section of your notebook draw the figure, and then calculate volume
1. 7 m
14 m
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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?