HONORS GEOMETRY Volume of Polyhedrons

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

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

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

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.

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

Example One: Find the volume of each prism below

Example Two: Find the volume of the following prisms

You Try! Find the volume of the prisms below

Volume of a Cylinder

Example Three: Find the volume of the following cylinders

You Try! Find the volume of each cylinder below

Volume of a Pyramid

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

Example Five: Find the volume of each pyramid below

You Try! Find the volume of each pyramid below

Volume of a Cone

Example Six: Find the volume of each cone below

You Try! Find the volume of the cones below

Example Seven: Find the volume of the following composite figures

You Try! Find the volume of each composite figure below

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.

Example Nine: Find x

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

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!

Exit Ticket: Find the volume of the following objects