Chapter 11: The Geometry Of Three Dimensions

Question 1

dihedral angle

Answer 1

is the union of two half-planes with a common edge

Question 2

Sphere

Answer 2

V= 4/3(pi)r2

Question 3

Parallel planes

Answer 3

are planes that have no points in common

Question 4

lateral area

Answer 4

of the prism is the sum of the areas of the lateral faces

Question 5

pyramid

Answer 5

is a solid figure with a base that is a polygon and lateral faces that are triangles

Question 6

regular pyramid

Answer 6

is a pyramid whose base is a regular polygon and whose altitude is perpendicular to the base at its center

Question 7

Cone

Answer 7

V= 1/3(pi)r2h 
LA= (pi)rhs 
SA= (pi)r2 + (pi) rhs

Question 8

Circular Cylinder

Answer 8

V=(pi) r2h

Total Surface Area= 2(pi)r2 + 2(pi)rh

Question 9

Volume of a Pyramid

Answer 9

V= 1/3 BH

Question 10

Volume of a Prism

Answer 10

V=BH

Question 11

Postulates

Answer 11

There is one and only one plane containing three non-collinear points
A plane containing any two points contains all of the points on the line
determined by those two points
If two planes intersect, then they intersect in exactly one line
At a given point on a line, there are infinitely many lines perpendicular
to the given line
The volume of a prism is equal to the area of the base times the height

Question 12

Skew lines

Answer 12

are lines in space that are neither parallel nor intersecting