Geometry+Chapter+11+Notes

Chapter 11 Notes

DEFINITIONS

Prism- A solid geometric figure whose two end faces are similar Base- The side or face of a geometric figure to which an altitude is or is thought to be drawn. Face-Any flat surface on a solid object. Lateral Face-The lateral face for a prism or pyramid is any edge or face which is not part of a base. Edge-The line where two surfaces meet Surface Area-The total area of the surface of a three-dimensional object Right Prism- A three-dimensional shape with two identical parallel bases, with all other faces as rectangles Right Prism- A three-dimensional shape with two identical parallel bases, with all other faces as rectangles Oblique Prism- A prism in which the bases are not aligned properly Lateral Area- The sum of the areas of the lateral (vertical) faces of a figurePyramid-A solid figure with a polygonal base and triangular faces that meet at a common point.Regular Pyramid-a pyramid whose base is a regular polygon and whose vertex forms a segment with the center of the polygonVertex of a Pyramid- A point where all triangles meetAltitude of a Pyramid- The distance from the vertex to the base of a pyramid, forming a right angleNet- A pattern that you can cut and fold to make a model of a solid shape. Formulas

Volume of a Pyramid-1/3B*h Surface Area of a Pyramid-1/2p*s+B

Volume of a Cylinder-pi r squared*h Surface Area of a Cylinder-B+2pi*r*h

Volume of a Cone-1/3B*h Surface Area of a Cone-1/2ps+B

Volume of a Sphere-4/3pi*r cubed Surface Area of a Sphere-4pi*r squared

Shapes

Faces Edges Vertices Tetrahedron 4 6 4 Cube 6 12 8 Octahedron 8 12 6 Isocahedron 20 30 12 Dodecahedron 12 30 20