dowjen

Chapter 7
[|7.1 Surface Area and Volume] S=2lw+2lh+2wh and V=lwh
 * Surface area and volume formulas for right rectangular prisms**

[|7.2 Surface Area and Volume of Prisms]

S=L+2B or S=hp+2B The lateral line is L, S is Surface Area, B is base area p is perimeter and h is height V is for volume, h is for height and B is for base V=Bh
 * Surface Area of a Right Prism formula:**
 * Volume of a Prism formula:**

[|where to find this picture]

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.
 * The Cavalier's Principle:**

and are perpendicular to both planes.
 * Altitude of a Prism:** A segment which has end points in planes containing bases


 * Height:** is the length of an altitude of a polygon.

[|7.3 Surface Area and Volume of Pyramids] base * height * 1/3 1/2 * Perimeter * side length + base area or lenght + base [|where to find this picture]
 * Volume formula for a Pyramid is:**
 * The Surface Area formula for a Pyramid is:**

Base Edge:** an edge that is part of the base, each of the lateral faces have one edge in common with the base.
 * Pyramid:** is a polyhedron which all but one polygon faces intercet at a point.
 * Base of a Pyramid:** polygon face that is on the opposite side of the vertex
 * Lateral Faces:** the faces of a prism or a pyramid that is not the base.
 * Vertex of a Pyramid:
 * Lateral Edge:** intersection of two lateral faces.
 * Regular Pyramid:** a pyramid which has a base of a regular polygon with lateral faces congruent to a isosceles triangle.
 * Slant Height:** in a regular pyramid, it is the length of an altitude of a lateral face.

[|7.4 Surface Area and Volume of Cylinders]

L is lateral area, B is base, r is radius, and h is height. S=L+2B or S= 2π*rh + 2π* r² V is for volume, r is for radius, h is for height and B is for base. V=Bh or V=π * r² * h
 * Surface Area of a Right Cylinder formula:**
 * Volume formula for a Cylinder:**

[|picture]


 * Cylinder:** solid that consists of a circular region, parallel planes connected with circles.
 * Lateral Surface:** the curved surface of a cylinder or a cone.
 * Axis:** the segment joining two bases.
 * Right Cylinder:** a cylinder with its axis perpendicular to the bases.
 * Oblique Cylinder:** cylinder that is not a right cylinder.

[|7.5 Surface Area and Volume of Cones]

S is for surface area, L is for the lateral area, B is for base, r is for radius, then //l// is for the slant height. S=L+B or S=π*r //*l +// π * r²
 * Surface Area formula for a Cone:**

V is for volume, r is for radius, h is for height and B is for base. V= 1/3Bh or V= 1/3π * r² * h
 * Volume formula for a Cone:**

[|where to find it]


 * Cone:** a three demensional that consists of a circular base and curved lateral surface connects to a single point.
 * Right Cone:** cone in which the altitude intersects the base at a center point.
 * Oblique Cone:** cone that is not a right cone.

[|7.6 Surface Area and Volume of Spheres]

V is for volume and r is for radius V= 4/3π * r³
 * Volume formula for a Shpere:**

S is for surface area and r is for radius. S=4π * r² [|where to get this picture]
 * Surface Area formula for a Sphere:**