Glencoe Geometry Chapter 12.
Vocabulary from Geometry's 12th Chapter, Extending Surface Area and Volume!
Terms in this set (31)
A perpendicular segment that joins the planes of the bases.
Is the segment with the endpoints that are centers of the circular bases (of a cylinder).
The lateral faces that intersect at the base.
Have exactly the same shape and the same size; are similar solids that have a scale factor of 1:1.
The intersection of a solid and a plane.
A three-dimensional figure that is composed of simpler figures.
A geometrical system in which a plane is a flat surface made up of points that extend infinitely in all directions.
The intersection if the circle contains the center of the sphere.
A polygon with sides and angles that are not congruent.
Is the sum of the areas of the lateral faces (of a prism) (L).
Wherein lateral faces intersect each other.
Faces that are not bases, in a solid figure.
The study of geometrical systems that are not in accordance with the Parallel Postulate of Euclidean geometry.
A cone that is not a right cone.
A cylinder that is not a right cylinder.
A prism in which lateral edges are not perpendicular to the bases.
Has a base that is a regular polygon and the altitude has an endpoint at the center of the base.
A cone with an axis that is also an altitude.
A cylinder with an axis that is also an altitude.
A prism with lateral edges that are also altitudes.
segment of a circle
The region bounded by an arc and chord.
Have exactly the same shape but not necessarily the same size.
The height of each lateral face (l).
The branch of geometry that deals with a system of points, great circles (lines) and spheres (planes).
A representation of a three-dimensional surface on a flat piece of paper.
Formulas for Prisms
a. L.A. = P • H
b. S.A. = P • H + 2B
c. V = B • H
Formulas for Cylinders
a. L.A. = 2πr • H
b. S.A. = 2πr • H • 2πr^2
c. V = πr^2 • H
Formulas for Pyramids
a. L.A. = 1/2 P • l
b. S.A. = 1/2 P • l • B
c. V = 1/3 B • H
Formulas for Cones
a. L.A. = πrl
b. S.A. = πrl + πr^2
c. V = 1/3 πr^2 • H
Formulas for Spheres
b. S.A. = 4πr^2
c. V = 4πr^3/3
Formulas for Hemispheres
b. S.A. = 3πr^2
c. V = 2πr^3/3