Euler's Formula (Ben)
Midpoint
Distance
Formulas
arrays/ vertices / edges/ bases
100
Euler’s Formula only works for... A. Polygons B. Quadrilaterals C. Polyhedrons D. Prisms
C. Polyhedrons
100
Find the midpoint of (6,8) and (2,3)
M = (4, 5.5)
100
What is the distance formula?
100
What is the formula for a cone?
V=XR2 h over 3
100
How many vertices does a triangular prism have?
6
200
Use the following information and Euler’s Formula (V-E+F=2) to find the amount of faces in the shape below.
Vertices: 10 Edges: 15 Faces: ?
7 Faces
200
Find the midpoint of (5,6) and (2, 4)
M = (3.5, 5)
200
What is the distance of (3,8,10) and (7,12,15)?
square root of 57 or 7.5 units
200
What is the formula for a sphere?
V= 4 thirds XR2
200
How many edges are on a triangular prism?
9
300
Use the following information and Euler’s Formula (V-E+F=2) to find the amount of edges in the shape below. Faces: 5 Vertices: 5 Edges: ?
8 Edges
300
Find the midpoint of (3, 2.5) and (4, 1)
M = (3.5, 1.75)
300
Whats the distance of (0,0,0) and (3,4,12)?
square root of 169 or 13 units
300
What is the formula for a cube?
v=x3
300
Does a triangular prism have faces? if so how many do they have?
yes they have 5
400
Use Euler’s Formula (V-E+F=2) to find the amount of edges in a shape without given a picture.
Vertices: 4 Faces: 4 Edges: ?
6 Edges
400
Find the midpoint of (3, 5, 2) and (2, 6, 1)
M = (2.5, 5.5, 1.5)
400
What is the distance of (2,3,7) and (9,10,10)?
about 10.3 units
400
What is the formula for a cylinder?
V= pie R2 H
400
What is an array?
An arrangement of objects, pictures, or numbers in rows and columns
500
What is Euler’s Formula?
V-F+E=2
F-E+V=2
V-E-F=2
V-E+F=2
4. V-E+F=2
500
Find the midpoint (2, 4, 6) and (1, 3, 5)
M = (1.5, 3.5, 5.5)
500
What is the distance of (7,14,8) and (9,3,12)?
about 11.9 units
500
What is the formula for a triangular prism?
V
=
14
h
﹣
+a
42
()
2a
b
2
()
2a
c
b
42
()
2b
c
c
4500
the highest point; the top or apex is an...
vertex