hanmay

= = =hama606= =__7.1__ *Surface Area and Volume*=

__**

Objectives**__


 * Explore ratios of surface area to volume.
 * Develop the concepts of maximizing volume and minimizing surface area.

Words and Formulas you need to know:
__**Words:**__
 * Surface Area**= S
 * Volume**= V
 * A right rectangular prism with length**=L
 * Width**=W
 * Height**=H


 * __Formulas:__**
 * Surface Area**=2LW+2WH+2LH
 * Volume**=L·W·H

**__Click here for examples__**
= =

=__7.2__ *Surface Area and Volume of Prisms*=




 * __Objectives:__**
 * Define and use a formula for finding the surface area of a right prism.
 * Define and use a formula for finding the volume of a right prism.
 * Use Cavalieri's Principle to develop a formula for the volume of a right of oblique prism.

Words and Formulas you need to know:
__**Words:**__
 * Altitude**- A segment that has endpoints in the planes containing the bases and that is perpindicular to the bases.
 * Height**- The length of an altitude.
 * Cavalieri's Principle-** If two solids have equal heights and the cross sections formed by every plane parallel to the bases of both solids have equal areas, then the two solids have equal volumes.
 * Volume of a Prism:** The volume of a Prism is base x height.

Surface Area--** S=L+2B or
 * __Formulas:__
 * Surface Area**-- S=hp+2B
 * Volume of** **Prism--** V=Bh

=__7.3__ *Surface Area and Volume of Pyramids*=

__


 * Objectives:**__


 * Define and use a formula for the surface area of a regular pyramid.
 * Define and use a formula for the volume of a pyramid.

Words and Formulas you need to know:

 * __Words:__**
 * Pyramid-** A polyhedron consisting of a base, which is a polygon and three or more lateral faces.
 * Base-** A polygon and three or more lateral faces connected.
 * Lateral faces-** Triangles that share a single vertex.
 * Vertex of a pyramid-** The single vertex shared by the lateral faces.
 * Base edge-** An edge that each lateral face has in common.
 * Lateral edge-** The intersection of two lateral faces.
 * Altitude-** The perpindicular segment from the vertex to the plane of the base.
 * Height-** The length of its altitude.
 * Regular Pyramid-** A pyramid whose base is a regular polygon and and whose lateral faces are congruent isoceles triangles. Also, all the lateral edges are congruent, and the altitude intersects the base at its center.
 * Slant height-** The length of an altitude of a lateral face of a regular pyramid.

Surface Area of a Regular pyramid--** S= L+B or S= 1/2 lp+B
 * __Formulas:__
 * Volume of a Pyramid--** V= 1/3 Bh

Want to see an example of how to use this?? Click the link below.
===Click here for examples

=== =__7.4__ *Surface Area and Volume of Cylinders*=




 * __Objectives:__**
 * Define and use a formula for the surface area of a right cylinder.
 * Define and use a formula for the volume of a cylinder.

Words and Formulas you need to know:
Cylinder-** a solid that consists of a circular region.
 * __Words:__
 * Lateral Surface-** With a cylinder, it's lateral surfaces connect the two circular regions.
 * Bases-** The faces formed by the circular region and its translated image.
 * Altitude-** A segment that has endpoints in the planes containing the bases and is perpendicular to both planes.
 * Height-** The length of an altitude.
 * Axis-** The segment joining the centers of the two bases.
 * Right cylinder-** It is a right cylinder when the axis of a cylinder is the segment joining the centers of the two bases.
 * Oblique Cylinder-** If the axis of a cylinder is not the segment that is joining the center of the two bases.


 * __Formulas:__**
 * Surface Area of a Right Cylinder--** S=L+2B
 * Volume of a Cylinder--** V=Bh

Click here for examples
=**__7.5__ *Surface Area and Volume of Cones***=




 * __Objectives:__**
 * Define and use the formula for the surface area of a cone.
 * Define and use the formula for the volume of a cone.

**Words and Formulas you need to know:**
Cone-**A three dimensional figure that consists of a circular base.
 * __Words:__
 * Base-** Circular base of a cone.
 * Lateral Surface:** A curved surface that connects the base to a single point not in the plane of the base.
 * Vertex-** Point not in the plane of the base connected to the lateral surface.

Surface Area of a Cone--**S=L+B
 * __Formulas:__
 * Volume of a Cone**-- V= 1/3 Bh

=**__7.6__ *Surface Area and Volume of a Sphere***=



__**Objectives:**__
 * Define and use the formula for the surface area of a sphere.
 * Define and use the formula for the voulme of a sphere.

**Words and Formulas you need to know:**
Sphere-** The set of all points in space that are the same distance from a given point known as the center of the sphere.
 * __Words:__
 * Annulus**- A ring-shaped figure within the middle of the sphere where it was cut in half.

Volume of a Sphere--** V= 4/3
 * __Formulas:__

=**Need more help?????**=

Click on these links for additional help:
1. [|Click here for a site that gives help with all sections] 2. [|Click here for Surface Area help] 3. [|Click here for Volume help] 4. [|Click here for a interactive help site] 5. [|Click here to see how formulas are used in every day life] Steps: -Click on link. -At the top of the page click on where it says: Flake ice or tube ice? -Read explanation and you will find how surface area works with this example. -Found in paragraph four.