pelmar


 * Pema303 Chapter 9

7.1 Surface Area and Volume** Surface Area and Volume Formulas: Surface Area- The Surface area and Volume of a right rectangular prism with length, width, and height are S //= 2lw+2wh+2lh// and V //= lwh// The surface are, and Volume, of a cube with sides are S=6S(2) and V=s(2)

The surface area, of a right prism with lateral,base, perimeter, and height is S=L+2B or S=hp+2B
 * 7.2 Surface Area of a Right Prism**

Altitude- of a prism is a segment that has endpoints in the planes/faces containing the bases and that is perpendicular to both planes/faces. Height -is the length of an altitude
 * Vocab:**

I**f two solids have equal heights and the intersections formed by every parallel plane to the bases of both solids have equal areas, if so then they also have equal volumes. [|]
 * Cavalieri's Principle

The volume, of a prism with height and base area is... V=//Bh//
 * Volume of a Prism**

Vocab:** Pyramid- is a polyhedron consisting of a base. Base- is a polygon with three or more lateral faces. Lateral faces- are triangles that share a single vertex. Vertex of the Pyramid- a single vertex that triangles lateral faces share. Base edge-is when each lateral face has one edge in common with the base. Regular Pyramid- is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles. Slant height- The length of an altitude of a lateral face of a regular pyramid.
 * 7.3 Surface Area and Volume of Pyramids

The surface area, of a regular pyramid with lateral are, base area, perimeter of the base, and slant height //- S=L+B or S=1/2L+B//
 * Surface Area of a Regular**

The volume, of a pyramid with height, and base area is V=1/3Bh Vocab:** Cylinder-is a solid that consists of a circular region and its translated image on a parallel plane. Lateral Surface- connecting the circles. Bases- The faces formed by the circularregion and its translated image. Axis- of a cylinder is the segment joining the centers of the two bases. Right Cylinder-if the axis of a cylinder is perpendicular to the bases. Oblique Cylinder- if the axis of a cylinder is no perpendicular to the bases.
 * Volume of a Pyramid**
 * 7.4 Surface Area and Volume of Cylinders

The surface area, of a right cylinder with lateral are, base area, radius, and height //S=L+2B// The volum, of a cylinder with radius, height, and base area //V=Bh//
 * Surface Are of a Right Cylinder**
 * Volume of a Cylinder**

Cone- is a three-dimensional figure that consist of a circular base and a curved lateral surface. Vertex- a single point not in the plane of the base. Right Cone- if the altitude of a cone intersects the base of the cone at its center. Oblique Cone- If the altitude of a cone does not intersect the base of the cone at its center.
 * 7.5 Surface Area and Volume of Cones**
 * Vocab:**

The surface area, of a right cone with lateral area, base of area, radius, and slant height S=L+ B The Volume, of a cone with radius, height,and base area V=1/3Bh
 * Surface Area of a Right Cone**
 * Volume of a Cone**

Sphere-is the set of all points in space that are the same distance, r, from a given point known as the center of the sphere.
 * 7.6 Surface Area and Volume of Spheres[[image:spherepel.jpg link="http://www.flickr.com/photo_zoom.gne?id=444463936&size=s"]]**
 * Vocab:**

The volume, of a sphere with radius r V=4/3 (Pie)r(cubed) The surface area, of a sphere with radius S=4 (Pie) r(Squared)
 * Volume of a Sphere**
 * Surface Area of a sphere**

10 Qestions? 1. volume of a triangular prism? V=BH 2. surface area of a triangular prism? S=L+ 2B 3.Volume of a pyramid? V=(1/3)Bh 4.Surface area of a pyramid? S=L+B or S=(1/2)lp+B 5.Volume of a cylinder? V=Bh 6. Surface area of a cylinder? S=L+2B 7. Volume of a Cone? V=(1/3)Bh 8.Surface area of a Cone? S= L+B 9. Volume of a sphere? V=(4/3)(PIE)r(cubed) 10. Surface area of a sphere? S=4(PIE)r(squared)