armamb


 * [[file:626-9821.bmp]aram530 chapter 9 link

http://www.math.com/tables/geometry/volumes.htm

Chapter 7**

7.1 Surface Area and Volume Objectives -explore ratios of surfacearea to volume -develope the concepts of maximizing volume and minimizing surfacearea

Formulas surfacearea of a right prism-S=2LW+2WH+2LH volume of a right prism-V=LWH

surfacearea of a cube-S=6s volume of a cube-V=s3

7.2 Surface Area and Volume of Prisms http://www.ashfordct.org/ClassroomFolders/SchreiberWebSite/images/07GeometricShapes.jpg

Objectives -Define and use a formula for finding the surfacearea of a right prism -Define and use a formula for finding the volume of a right prism -Use Cavalieri's Principal to develope a formula for the volume of a right or oblique prism

Vocab

Altitude-endpoints that connect for top to the bottom, lenght of that segment is the altitude Height-Length of the altitude

Formulas

Surface area of a right prism- S=L+2b Volume of a Prism- V=bharam530

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 puramid

Vocab

Pyramid-polyhedron consisting of a base, which is a polygon and three or more lateral faces. Base- flat face of the figure Lateral face- the faces of a prism or pyramid that are not bases. Vertex of the pyramid- lateral faces that share a single vertex. Base edge- each lateral face has one edge on common with the base. Lateral edge- intersection of two lateral faces. Altitude- perpendicular segment from the segment from the vertex to the plane of the base. Height- lenght of the altitude. Slant height- lenght f an altetude whtih a lateral face.

Formulas

Surface area of a regular pyramid- S=L+B or S=1/2 Lp+B

7.4 Surface Area and Volume of Cylinders http://wzus.ask.com/r?t



Objectives -Define and use a formula of rhte surface area of a right cylinder. -Define and use a formula for the volume of a culinder

Vocab

Cylinder- is a solid that consists fa circular refion and its translatedcylinder =**b** h= //pi// r 2 h http://www.math.com/tables/geometry/volumes.htm Lateral surface- connecting faces by seperate planes. Bases- faces formed by the circular region and its translated image are called bases. Altitude- segment tahts end points in the planes containing bases and is perpendicular to both bases. Height length of the altitude. Axis- segment joining the center of two bases. Right cylinder- cylinder is perpendicular to the bases.

Formulas

Surface area of a right cylinder- S=L+2B volume of a right cylinder- V=Bh

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.

Vocab

Cone- 3d firgure that consists of a circular plane base and a curved lateral face that connects the base to the vertex. Lateral surface- the curved part of a cylinder or cone. Altitude- a segment from the vertex perpendicular to the plane of the base. Obliuqe cone- a cone that is not right.

7.6 Surface area and volume of Sheres

Objectives -Define and use the formula for the surface area of a shere -Define and use the formula for the volume of a sphere

Vocab

Sphere- the set of points in a space that are equildistant from a given point known as the center of the shere. Annulus- the region between two circles in a plane that have the same center but differnt redii.