sanjac

saja520 chapter 9

Every word you dont know or cant find out go to [|www.dictionary.com] = = =7.1 Volume and Surface Area=

picture from [|www.drfad.com/images/cube.jpg] To find the volume of a recatangular prism you times length times width times height.

S=2lw+2wh+2lh and V=lwh

The surface area and volume of a

S=6s^2 and V=s^3 Example S=3 V=3^3

=7.2 Surface Area of a Right Prism=

Example picture from [|www.korthalsaltes.com/foto/rectangular_prism.jpg] Altitude: A Segment that has end points in the planes containing the bases and is perpendicular to both sides. Height: The length of the altitude. The surface area,S, of a a right prism with lateral area,L, base area,B, perimeter,P, and height,H.

S=L+2B or S=HP+2B

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. Volume of a Prism V=Bh

=7.3 Surface Area and Volume of Pyramids=

Pyramid: A solid having a polygonal base. Base: The bottom line of a figure that is straight. Lateral Faces: The faces of a pyramid that are not bases. Vertex of the Pyramid:when lateral faces are triangles that share a vertex. Base Edge: when each lateral face has one edge in common with the base. Lateral edge: the intersection of two lateral faces. Altitude: Of a pyramid is a perpendicular segment from the vertex to the plane of the base. Height: length of its altitude. Regular pyramid: whose base is a regular polygon. Slant height: the length of an altitude of a lateral face of a regular pyramid. http://ce.eng.usf.edu/pharos/wonders/Gallery/pyramid.jpg surface area of a regular pyramid S=L+B is the equation. Volume of a pyramid V=1/3Bh is the equation

7.4 Surface area and volume of cylinders
Cylinder: solid that consists of a circular region. Lateral surface: the curved surface of a cone. bases: bottom, circular region. altitude: segment that has endpoints in the planes. Height:length of altitude. http://thesaurus.maths.org/mmkb/media/png/Cylinder2.png surface area of a right cylinder S=L +2B Volume of a cylinder V=Bh

=7.5 Surface area and volume of cones=

Cone:3-D figure. Base: circular bottom. lateral surface: curved surface of a cone. Vertex: Single point not in the plane of the base. Altitude: a cone is the perpendicular segment from the vertex to the plane. Height: length of the altitude. right cone: the altitude of a cone intersects the base of the cone at its center. oblique cone: opposite. http://jeffatwood.typepad.com/atwoodzoo/images/menu_ice_cream_cone.jpg surface area of a right cone S=L+B volume of a cone V=1/3Bh

7.6 surface area and volume of spheres
Sphere: the set of points in a space that are equidistant from a given point. Annulus:the region between 2 circles in a plane that have the same center. http://w3.uniroma1.it/cattedra_rossi/earth.jpg Volume of a sphere V=4/3*3.14R^3 Surface area of a sphere S=4*3.14R^2

1)volume of a triangular prism V=BH B=4 and H=10 V=(4)(10) V=40 2)surface area of a triangular prism S=L+2B L=1 and B=10 S=(1)2(10) S=20 3)volume of a pyramid

4)surface area of a pyramid 5)volume of a cylinder 6)surface are of a cylinder 7)volume of a cone 8)surface area of a cone 9) volume of a sphere 10)surface are of a sphere