Chapter Ten:  
Surface Area and Volume

Geometry   Notes

Chapter  10

Section  10.1
Section  10.2
Section  10.3
Section  10.4
Section  10.5
Section  10.6
Section  10.7
Section  10.8

Geometry Contents

 

Take notes on the following topics.

Section 10-4  Surface Areas of Pyramids and Cones

Vocabulary

Pyramid (p. 537) A pyramid is a polyhedron in which one face, the base, is a polygon and the other faces, the lateral faces, are triangles with a common vertex, called the vertex of the pyramid. An altitude of a pyramid is the perpendicular segment from the vertex to the plane of the base. Its length is the height of the pyramid. A regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles. The slant height of a regular pyramid is the length of an altitude of a lateral face.

Regular pyramid image with lines showing height and slant height.

Cone (p. 539) A cone is a three-dimensional figure that has a circular base, a vertex not in the plane of the circle, and a curved lateral surface. The altitude of a cone is the perpendicular segment from the vertex to the plane of the base. The height is the length of the altitude. In a right cone, the altitude contains the center of the base. The slant height of a right cone is the distance from the vertex to the edge of the base.

Right cone image, with lines showing radius, slant height, altitude and arrows showing vertex and base

 

A list of  formulas is on p. 727.