dorhan

=doha665 chapter 9= =__CHAPTER 7__=

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

 * S** = Surface area
 * V** = Volume


 * l** = Length
 * w** = Width
 * h** = Height

**V** = **lwh**

 * s** = side

**S=6s2 and V=s3**


=**7.2 Surface Area and Volume of Prisms**=

**VOCABULARY**
__Altitude__- The perpendicular distance from the vertex of a figure to the side opposite the vertex. The line through the vertex of a figure perpendicular to the base. __Height__- Distance upward from a given level to a fixed point


 * S** = Surface area
 * L** = Lateral area
 * B** = Base


 * p** = Perimeter
 * h** = Height

**Volume of a Prism**

 * V** = Volume
 * B** = Base
 * h** = Height

**V=Bh**
volume = base x height

**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.



=**7.3 Surface Area and Volume of Pyramids**=

**VOCABULARY**
__Regular Pyramid__- Pyramid who base is a regular polygon and whose lateral faces are congruent isoceles triangles. __Slant Height__- The length of an altitude of a lateral face of a regular pyramid.

**Surface Area of a Regular Prism**

 * S** = Surface Area
 * L** = Lateral area
 * B** = Base


 * p** = perimeter
 * l** = slant height

**Volume of a Pyramid**

 * V** = Volume
 * B** = Base
 * h** = Height

**V = 1/3Bh**
volume = one-third x base x height



=**7.4 Surface Area and Volume of Cylinders**=

**VOCABULARY**
__Right Cylindar__- If the axis of a cylinder is perpendicular to the bases. __Oblique Cylindar__- If the axis is **not** perpendicular to the base.


 * S** = Surface Area
 * V** = Volume
 * L** = Lateral Area
 * B** = Base


 * h** = Height
 * r** = radius