revcai

= = reca57 =//Chapter 7//=

= =

//OBJECTIVES://
= =
 * //Explore ratios of surface area to volume//
 * //Develop the concepts of maximizing volume ans minimizing surface area//

//VOCABULARY://

 * //None//

//**FORMULAS:**// L= Length W= Width H= Height

S=2LW+2WH+2LH V=LWH L= Length W= Width H= Height
 * Surface area for a Rectangular Prism**
 * Volume of a Rectangular Prism**

S=6S² V=S³
 * Surface area of a Cube**
 * Volume for a Cube**


 * __section 7.2__**
 * **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 or oblique prism


 * **VOCABULARY**=== ===
 * Height of a Prism -The length of the altitude
 * Altitude of a Prism- A segment that has endpoints in the planes that have the bases and that is perpendicular to both planes.


 * **FORMULAS**
 * Surface Area of a Right Prism
 * Volume of a Prism
 * __section 7.3__**
 * ===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
 * VOCABULARY:**
 * VOCABULARY:**


 * Pyramid-A polyhedron consisting of a base, which is a polygon, and 3 or more lateral faces.
 * Base-The polygonal face that is opposite the vertex.
 * Lateral Faces-The faces of a prism or pyramid that are not bases.
 * Vertex of a Pyramid-A point where the edges of a figure intersect.
 * Base Edge-An edge that is part of the base of a pyramid; Each lateral face has one edge in common.
 * Lateral Edge-The intersection of 2 lateral faces.
 * Altitude of a Pyramid-A segment from the vertex perpendicular to the plane base.
 * Height-The length of the altitude.
 * Regular Pyramid-A pyramid whose base is a regular polygon and whose lateral faces are congruent.
 * Slant Height-In a regular pyramid, the length of the altitude of a lateral face.

__**section 7.4**__
 * FORMULAS**:
 * Surface Area of a Regular Pyramid
 * Volume of a Pyramid
 * ===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
 * VOCABULARY:**
 * VOCABULARY:**


 * Cylinder-A solid that consists of a circular region and it's translated image in a parallel plane with a lateral surface connecting the circles
 * Lateral Surface-The curved surface of a cylinder.
 * Base-The circular faces of the cylinder.
 * Altitude-A segment that has endpoints in the planes connecting the bases and is perpendicular to both planes.
 * Height-The length of the altitude.
 * Axis-The segment joining the centers of the 2 bases.
 * Right Cylinder-A cylinder whose axis is perpendicular to the bases.
 * Oblique Cylinder -A cylinder that isn't a right cylinder


 * FORMULAS:**


 * Surface Area of a Right Cylinder
 * Volume of a Cylinder


 * __section 7.5__**

OBJECTIVES:

 * Define and use the formula for the surface area of a cone
 * Define and use the formula for the volume of a cone
 * VOCABULARY:**
 * Cone-A 3-D figure that consists of a circular base and a curved lateral surface that connects the base to a single point not in the plane of the base,called the vertex.
 * Base-The circular face of a cone.
 * Lateral Surface-The curved surface of a cone.
 * Vertex-The point opposite the base of the cone.
 * Altitude-A segment from the vertex perpendicular to the plane of the base.
 * Height-The length of the altitude.
 * Right Cone-A cone in which the altitude intersects the base at it's center point
 * Oblique cone -A cone that is not a right cone.
 * Oblique cone -A cone that is not a right cone.


 * FORMULAS:**

__**section 7.6**__
 * Surface Area of a Right Cone
 * Volume of a Cone
 * OBJECTIVES:**
 * Define and use the formula for the surface area of a sphere
 * Define and use the formula for the volume of a sphere
 * VOCABULARY:**


 * Sphere-The set of all points in space that are that are the same distance from a given point known as the center of the sphere.
 * Annulus- The region between 2 circles in a plane that have the same differ in radii.


 * FORMULAS:**
 * Surface Area of a Sphere
 * Volume of a Sphere

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