moucin


 * moci308 Chapter 9 Link!



__7.1

Volume of a right triangular Prism__** The surface area, S and the volume V of a right rectangular prism with length, width w, and height h are S=2lw +2wh +2lh and V= lwh The surface area, S, and volume V of a cube with sides s are S= 6s2 and V= s3
 * Surface area of a triangular prism**

Altitude-- is a segment that has end points in the planes Height--- Length of the altitude
 * __7.2__**

S+ l + 2b or S= hp+ 2B V=BH
 * Surface area of a right Prism**
 * Volume of Prism**

If a base of a prism is 40in and the height of the prism is 5in, what is the volume of the prism? 40in x 5in= 200in2

__**Cavalieri's principle**__ If two solids have equal lengths and the cross sections formed by every plane parrellel to the bases of both solids have equal areas, then the 2 solids, have equal volumes.

__**7.3**__

S= L + B or S =1/2lP + B V= 1/3BH
 * Surface area of a regular Pyramid**
 * Volume of a Pyramid**

Altitude of a cylinder--- a segmetn that has end points in the planes containing the bases and is perpendicular to both planes Height of a cylinder--is the length of an altitude Axis of a cylinder--- is the segment joining he centers of 2 bases Right cylinder-- if the axis of a cylinder is perpendicular to the bases. Oblique Cylinder--- id the axis of a cylinder is not perpendicular to the bases.
 * __7.4__**

Surface area S of a right cylinder with alateral area L base area B radius r Hieght h is S=L + 2b The vloume V of a cylinder with radius R, height h, base B, is V=BH A cylinders hieght is 13Ft and the base height is 3ft. What is the Volume of the cylinder?
 * Surface area of a right Cylinder**
 * Volume of a cylinder**

V= BH--> V= 3x13= 39

Lateral surface--- that contains the vase to a single point not the plane of the bases called Vertex Altitude of a cone--- is the perpendicular segment from the vertex to the plane of th ebase. height of the cone--- if the length of th ealtitude Right Cone-- if the altitude of a cone intersects the base of the coen at its center Oblique cone--- if altitude doesnt intersects the base of the cone.
 * __7.5__**

S= L + B V= 1/3 BH or V= 1/3pie r exponent 2 h Example: 1/3(1exponet 2) (0.5) = 0.52 cubic meters
 * surface area of a right cone**
 * Volume of a cone**

Example: If the volume of a right cone is 1680pie cm3, the radius of its base is 12 cm, what is the height of the cone?

Sphere-- the set of all points in space that are the same distance(r) from given as the center. Annulus-- the ring shaped figure.
 * __7.6__**

V=4/3pie r Exponet 3 Example:
 * Volume of a Sphere**

r = 2 V= 4/3 pie r exponent 3 4/3 pie (2exponent 3) 4/3 pie 8

S= 4pie r exponet 2
 * Surface of a sphere**