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HONORS GEOMETRY 12.4+12.5. Volume of Polyhedrons
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Do Now: Complete the do now given to you when you entered class today.
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Homework Questions? Comments? Confusions? Concerns? ASK ASK ASK!
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So far…. We have done Lateral Area and Surface Area. Today??? VOLUME
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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.
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Volume of a Prism V = Bh Where… B= Area of the base h = Height of the prism
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Example One: Find the volume of each prism below
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Example Two: Find the volume of the following prisms
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You Try! Find the volume of the prisms below
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Volume of a Cylinder
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Example Three: Find the volume of the following cylinders
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You Try! Find the volume of each cylinder below
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Volume of a Pyramid
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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?
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Example Five: Find the volume of each pyramid below
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You Try! Find the volume of each pyramid below
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Volume of a Cone
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Example Six: Find the volume of each cone below
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You Try! Find the volume of the cones below
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Example Seven: Find the volume of the following composite figures
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You Try! Find the volume of each composite figure below
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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.
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Example Nine: Find x
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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
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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!
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Exit Ticket: Find the volume of the following objects
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