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HONORS GEOMETRY 12.4+12.5. Volume of Polyhedrons.

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Presentation on theme: "HONORS GEOMETRY 12.4+12.5. Volume of Polyhedrons."— Presentation transcript:

1 HONORS GEOMETRY 12.4+12.5. Volume of Polyhedrons

2 Do Now: Complete the do now given to you when you entered class today.

3 Homework Questions? Comments? Confusions? Concerns? ASK ASK ASK!

4 So far…. We have done Lateral Area and Surface Area. Today??? VOLUME

5 Volume Measure of the amount of space the solid encloses (always measured in cubed units) **Note: I’m skipping the DO Now– this is the start to your notes.

6 Volume of a Prism V = Bh Where… B= Area of the base h = Height of the prism

7 Example One: Find the volume of each prism below

8 Example Two: Find the volume of the following prisms

9 You Try! Find the volume of the prisms below

10 Volume of a Cylinder

11 Example Three: Find the volume of the following cylinders

12 You Try! Find the volume of each cylinder below

13 Volume of a Pyramid

14 Example Four: The entrance to the Louvre Museum in Paris, France, is a square pyramid with a height of 21.64 meters. What is the approximate volume of the Louvre Pyramid?

15 Example Five: Find the volume of each pyramid below

16 You Try! Find the volume of each pyramid below

17 Volume of a Cone

18 Example Six: Find the volume of each cone below

19 You Try! Find the volume of the cones below

20 Example Seven: Find the volume of the following composite figures

21 You Try! Find the volume of each composite figure below

22 Example Eight: A triangular pyramid with a right triangle base with a leg 8 centimeters and a hypotenuse 10 centimeters has a volume of 144 cubic centimeters. Find the height of the pyramid.

23 Example Nine: Find x

24 You Try! A square pyramid has a volume of 862.5 cubic centimeters and a height of 11.5 centimeters. Find the side length of the base

25 Practice Problems Try some on your own/in your table groups As always don’t hesitate to ask questions if you are confused! OR talk to your table mates! They are your greatest resource!

26 Exit Ticket: Find the volume of the following objects


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