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swal124 Chapter 9 link

[|THIS LINK IS GOOD FOR ALL SECTIONS! (:]
=[|Section 7.1 (surface area and volumes)]=

Surface Area And Volume Formulas:
Key: -S = surface area. -V = volume. -l = length. -w = width. -h = hieght.

surface area and volume formula of a rectangular prism:
- S= 2lw + 2wh + 2lh - V= lwh

surface area and volume of a cube:
- S= 6s² - V= s³

__rectangular prisms:__

example: s=2lw+2wh+2lh w= 3; l=6; h=7 S=2x6x3+2x3x7+2x6x7 s=

= = =[|Section 7.2 (surface area and volume of prisms)]= key: B = Base area L = lateral area p = perimeter

A segment which has end points in planes containing bases and are perpendicular to both planes. The height of the prism is the same and the length of the altitude. If two solids are equal in height and the cross sections formed by every parallel plane to the bases, have equal areas, Then the two solids have equal volumes.
 * Altitude of a Prism:**
 * Height of the Prism:**
 * The Cavalier's Principle:**

Surface area of a Right Prism:
- S= L + 2B -or- S=hp + 2B

Volume of a Right Prism:
- V= Bh right prisms: =[|section 7.3 (surface area and volume of pyramids)]= =key:= S=surface area L=lateral face B=base area r=radius h=height V=volume

A polyhedron containing a base, and three &+ lateral faces. A polygon The equal length from the altitude[Of a pyramid]. Lateral faces all go to a vanish point and meet at a single vertex, called.. where two lateral faces meet, or cross. common edges within lateral faces The perpendicular Segment from the point of vertex to the plane of the base[Of a pyramid]. A regular polygon=its base. Congruent Isosceles triangles=lateral faces. All lateral edges are equal to each other, the altitude crosses the base at its center. Altitude length of lateral faces.
 * Pyramid:**
 * Base:**
 * Height:**
 * Vertex of the Pyramid:**
 * Lateral Edge:**
 * Base Edge:**
 * Altitude:**
 * A Regular Pyramid:**
 * The Slant Height:**

Surface area of a regular pyramids:
- S= L + B -or- S =1/2 lp + B

Volume of a regular pyramid:
- V = 1/3 Bh

pyramids:

=[|Section 7.4 (surface area and volume of cylinders)]=

[|online calculator] Key: r = radius V=volume S=surface area L=lateral face B=base area r=radius h=height

A cylinder is a complete solid circular object, think of a can of soup. It's image that is reflected across is on a parallel plane, with a //Lateral Surface attaching the top to the bottom.// The circular region [top & bottom] form faces of the cylinder [Of a cylinder]A segment, or line up and down connecting the top to the bottom, also can be mistaken for the height. The curved surface of a cylinder or cone The same as the altitude The segment in the center of the top and bottom, connecting the entire object together Axis isn't perpendicular If not that^, then its oblique. (An oblique Cylinder is not a Right Cylinder)
 * Cylinder:**
 * Bases:**
 * Altitude:**
 * Lateral Surface:**
 * Height:**
 * Axis:**
 * Right Cylinder:**
 * Oblique Cylinder:**

Surface area of a right cylinder:
S= L + 2B -or- S= 2rh+2(pi)r²

Volume of a cylinder:
V= Bh -or- V= r²h

cylinders & prisms:

=[|Section 7.5 (surface area and volume of cones)]=

It is 3 dimensional, that has a circular base on the bottom. A curved lateral face runs up and down the right and left sides, connecting the entire shape together, to the base.The point where everything meets is the vertex. If the height, or altitude crosses the base of the cone in the middle. The altitude The perpendicular line running down the middle connecting the vertex to the base
 * Cone:**
 * Right Cone:**
 * Height:**
 * Altitude:**

surface area of a cone: S= L + B -or- S= rl + r²

volume of a cone: V= 1/3 Bh -or- V= 1/3 r²h

cones: =[|Section 7.6 ( surface area and volume of spheres)]=

Key: V=volume r=radius S=surface area r=radius

There is one center point in the middle of the sphere, every point around the circle has the same distance, or radius[midway point].
 * Sphere:**

V=4/3r3
 * Volume of a sphere:**

S=4r2
 * Surface area of a sphere:**

spheres:

= = =7.7 Three-dimensional Symmetry=


 * •May be reflected across planes

__Revolutions in coordinate space:__** If you were to rotate a figure on its axis, you would keep receiving a sequence pattern of shapes.

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