wilsar

=Wisa27 chapter 9 link= = = =Chapter 7 Surface Area and Volume=

7.1 Surface Area and Volume
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 * Explore ratios of surface area to volume.
 * Develop the concepts of maximizing surface area.

Surface Area and Volume Formulas
The Surface area, S,and volume, V, of a right rectangular prism with length l, width w, and height h areS=2lw+2wh and V= lwh. The surface area, S, and volume, V, of a cube with sides s areS=6s2 and V=s3. =Chapter 7 Surface Area and Volume=

Objectives:
V=Bh =Chapter 7 Surface Area and Volume=
 * 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.An **altitude** of a prism is a segment that has endpoints in the planes containing the bases and that is perpendicular to both planes. The **height** of a prism is the length of an altitude. ===Surface Area of a Right Prism===S=L+2B OR S=hp+2B
 * ===Volume Of a Prism===

Objectives:
The **altitude** of a pyramid is the perpendicular segment from the vertex to the plane of the base. The **height** of a pyramid is the length of its altitude. A **regular** pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangle. in a regular pyramid, all of the lateral edges are congruent, and the altitude intersects the base at its center. The length of an altitude of a lateral face of a regular pyramid is called the **[|slant height]**of the pyramid.
 * Define and use a formula for the surface area of a regular pyramid
 * Define and use a formula for the volume of a **[|Pyramid]****.**

Surface Area of a Regular Pyramid
S=L+B OR S=1/2lp+B

Volume of a Pyramid
V=1/3 Bh. >> S=2lw+2wh and V=wh. >> The surface area, S, and volume, V, of a cube with sides s are >> S=6s2 and V=s3
 * =Chapter 7 Surface Area and Volume=
 * ==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.**[|cylinder]**
 * The faces formed by th circular region and its translated image are called the **bases** of a cylinder.An **altitude** of a cylinder is a segment that has endpoints in the planes containing the bases and its perpendicular to both planes. the **height** of a cylinder is the length of an altitude.The **axis** of a cylinder is the segment joining the centers of the two bases.If the axis of a cylinder is perpendicular to the bases, then the cylinder is a **right** cylinder. If not, its and **oblique** cylinder. ===Surface Area of a Right Cylinder===S=L+2B OR S=2(pie)rh+2(pie)r 2 ===Volume of a Cylinder===V=Bh OR S=(pie)r2h =Chapter 7 Surface Area and Volume[[image:Cone.gif]]=
 * [[image:spaceball.gif]][[image:109236004_a88312a218.jpg width="199" height="300" link="http://www.flickr.com/photos/chocolatemonster/109236004/"]]
 * ==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.The **altitude** of a cone is the perpendicular segment from the vertex to the plane of the base. the **[|height]** of the cone is the length of the altitude.If the altitude of a cone intersects the base of the cone at its center, the cone is a right cone. If not, its an **oblique cone**===Surface Area of a Right Cone===S=L+B OR S=(pie)rl+(pie)r2 ===Volume of a Cone===V=1/3Bh OR V=1/3(pie)r2h =Chapter 7 Surface Area and Volume=
 * [[image:http://farm1.static.flickr.com/27/61231240_0c1a75bc5a.jpg?v=0 width="236" height="188" link="http://www.flickr.com/photos/marcosrf/61231240/"]]
 * ==7.6 Surface Area and Volume of Spheres==
 * ===Objectives:===
 * Define and use the formula for the surface area of a sphere.
 * Define and use the formula for the volume of a sphere.Volume of a SphereV=4/3(pie)r3 ===Surface Area of a Sphere===S=4(pie)r2 === ===
 * ===Surface Area and Volume Formulas===Surface Area and Volume Formulas
 * Define and use the formula for the volume of a sphere.Volume of a SphereV=4/3(pie)r3 ===Surface Area of a Sphere===S=4(pie)r2 === ===
 * ===Surface Area and Volume Formulas===Surface Area and Volume Formulas
 * ===Surface Area of a Right Prism===Surface Area of a Right Prism S=L+2B OR S=hp+2B
 * ===[[image:http://farm1.static.flickr.com/110/287854936_db7212c092.jpg?v=0 width="229" height="189" link="http://http://www.flickr.com/photos/jonpayne/287854936/"]]===
 * === ===Volume of a Prism
 * V=Bh=== ===
 * Surface Area of a Regular Pyramid
 * S=L+B OR S=1/2lp+B
 * Surface Area of a Regular Pyramid
 * S=L+B OR S=1/2lp+B
 * ===Volume of a Pyramid===
 * V=1/3Bh
 * V=1/3Bh


 * ===Surface Area of a Right Cylinder===
 * S=L+2B OR S=2(pie)rh+2(pie)r 2
 * ===Volume of a Cylinder===
 * V=Bh OR S=(pie)r2h
 * ===Volume of a Cylinder===
 * V=Bh OR S=(pie)r2h

Surface Area of a Right Cone

 * S=L+B OR S=(pie)rl+(pie)r2


 * ===Volume of a Cone===
 * V=1/3Bh OR V=1/3(pie)r2h. = =
 * Volume of a Sphere
 * V=4/3(pie)r3

Surface Area of a Sphere

 * The surface area, S, of a sphere with radius r is
 * S=4(pie)r2