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 * enan34 <---CHAPTER 9 Link

7.1 Surface Area and Volume Formulas**



__Objectives__
 * Explain the rotations of surface area to volume.
 * Develope the concepts of maximizing volume & minimizing surface area.


 * 7.2 Surface Area and Volume of Prisms**



__Objectives__ __Alititude__ - Segment joining the centers of two bases. __Height__ - Is the length of the altitude. __Right Prism__ - Is a prism with a 90 degree right angle.
 * Define and use the formula for the surface area of prisms.
 * Define and use the formula for the volume of prisms.
 * Define and use the formulas for the volume and surface area of right prisms.


 * 7.3 Surface Area and Volume of Pyramids**



__Objectives__ __Pyramids__ - A polyhedron consisting of a base and three or more lateral faces. __Base__ - The polygonal base that is opposite the vertex. __Lateral Faces__ - The face of a pyramid that are not the base. __Vertex of a Pyramid__ - A single point in the polyhedron that all the lateral faces connect at. __Base Edge__ - The edge that each lateral face has in common with the base. __Lateral Edge__ - The intersection of two lateral faces. __Altitude__ - The segment that has endpoints in the planes containing the bases that is perpendicular to both planes. __Height__ - The length of the altitude. __Regular Pyramid__ - A pyramid that forms a regular polygon. __Slant Height__ - The length of the altitude of a lateral face.
 * Define and use the formula for the surface area of a pyramid.
 * Define and use the fomula for the volume of the volume of a pyramid.


 * 7.4 - Surface Area and Volume of Cylinder**



__Objectives__ __Cylinder__ - A solid that consists of a circular region & its translated image on a parallel plane, with a lateral surface that connects the circles. __Lateral Suface__ - They connect the circles. __Bases__ - Faces formed by the circulated region and its translated image. __Altitude__ - Segment joining the centers of two bases. __Right Cylinder__ - When axis of a cylinder is perpendicular to both of the bases. __Oblique Cylinder__ - When axis of a cylinder is not perpendicular to both of the bases.
 * Define and use a formula for the surface area of a right cylinder.
 * Define and use a formula for the volume of a cylinder.


 * 7.5 Surface Area and Volume of Cones**



__Objectives__ __Cone__ - A 3D figure with a circular base and a curved lateral surface that conncects the base to a single point not in the plane of the base called the vertex. __Base__ - Is the non-cicular portion of the cone. __Lateral Surface__ - Is curved connecting base to a single point. __Altitude__ - A perpendicular segment from vertex to the plane of the base. __Height__ - Is length of the altitude. __Right Cone__ - When altitude of a cone intersects the base of the cone at its center. __Oblique Cone__ - When altitude of a cone does not intersect the base of the cone at its center. __Slant Height of a Cone__ - The radius of the sector of the cone.
 * Define and use the formula for the surface area of a cone.
 * Define and use the formula for the volume of a cone.


 * 7.6 Surface Area and Volume of Spheres**



__Objectives__ __Sphere__ - The set of all points in space that are the same distance, r, from a given point known as the center of the sphere. __Annulus__ - The ring-shaped figure within the sphere.
 * Define and use a formula for the surface area of a sphere.
 * Define and use a formula for the volume of a sphere.

Formulas...
 * [[image:http://z.about.com/d/math/1/0/j/rectangle.gif width="153" height="77"]] || **Rectangle:** Area =Length X Width A=lw Perimeter =2 X Lengths + 2 X Widths P=2l + 2w ||
 * [[image:http://z.about.com/d/math/1/0/m/parallelogram.gif width="149" height="64"]] || **Parallelogram** Area =Base X Height a=bh ||
 * [[image:http://z.about.com/d/math/1/0/e/triangle.gif width="140" height="74"]] || **Triangle** Area =1/2 of the base X the height a=1/2 bh Perimeter = a + b + c (add the length of the three sides) ||
 * [[image:http://z.about.com/d/math/1/0/g/trapezoid.gif width="195" height="105"]] || **Trapezoid** [[image:http://z.about.com/d/math/1/0/f/trapform.gif width="103" height="21"]] Perimeter =area + b1 + b2 + c P=a + b1 + b2 + c ||
 * [[image:http://z.about.com/d/math/1/0/q/circle.gif width="150" height="150"]] || **Circle** [|Try the Online tool.] The distance around the circle is a circumference. The distance across the circle is the diameter (d). The radius (r) is the distance from the center to a point on the circle. (Pi =3.14) More about [|circles.] d=2r c =pd=2 pr A =pr2 (p=3.14) ||
 * [[image:http://z.about.com/d/math/1/0/i/rectangularsolid.gif width="173" height="114"]] || **Rectangular Solid** Volume =Length X Width X Height V=lwh Surface = 2lw + 2lh + 2wh ||
 * [[image:http://z.about.com/d/math/1/0/l/prisms.gif width="151" height="77"]] || **Prisms** Volume =Base X Height v=bh Surface = 2b + Ph //(b is the area of the base P is the perimeter of the base)// ||
 * [[image:http://z.about.com/d/math/1/0/n/cylinder.gif width="140" height="132"]] || **Cylinder** Volume =pr2 x height V=pr2 h Surface =2p radius x height S=2prh + 2pr2 ||
 * [[image:http://z.about.com/d/math/1/0/k/pyramid.gif width="130" height="133"]] || **Pyramid** V = 1/3 bh b is the area of the base Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases. ||
 * [[image:http://z.about.com/d/math/1/0/o/cones.gif width="117" height="138"]] || **Cones** Volume =1/3 pr2 x height V=1/3 pr2h Surface =pr2 + prs S=pr2 + prs =pr2 + pr[[image:http://z.about.com/d/math/1/0/p/coneformula.gif]]= ||
 * [[image:http://z.about.com/d/math/1/0/h/sphere.gif width="135" height="88"]] || **Sphere** Volume =4/3 pr3 V=4/3 pr3 Surface =4pr2 S=4pr2 ||
 * [[image:http://z.about.com/d/math/1/0/h/sphere.gif width="135" height="88"]] || **Sphere** Volume =4/3 pr3 V=4/3 pr3 Surface =4pr2 S=4pr2 ||

Sources Include: -http://math.about.com/library/blmeasurement.htm -http://www.flickr.com/creativecommons/by-nc-sa-2.0/