1. 11.6 Volume of Prisms and Cylinders
Mrs. vazquez
Geometry

2. G-gmd.1.1, 1.3-4 Essential Question:
How does Cavalieri’s Principle relate with a stack of coins?
Objective:
Students will be able to calculate volume of prisms and cylinders.

3. postulates
Volume of a Cube Post.: The volume of a cube is the cube of the length of its side.
Volume ≅ Post.:
If two polyhedra are ≅, then they have the same volume.
Volume (+) Post.:
The volume of a solid is the sum of the volumes of all its nonoverlapping parts.

4. theorems Volume of a Prism: The volume of a prism is
V = Bh, where B is the area of a base & h is the height.
Volume of a Cylinder:
The volume of a cylinder is
V = Bh = πr2h, where B is the area of a base, h is the height, & r is the radius of the base.

5. Cavalieri’s principle
If two solids have the same height & the same cross- sectional area at every level, then they have the same volume.