marissakirk9676 marissakirk9676
  • 03-10-2019
  • Mathematics
contestada

a. For each of the Five Platonic Solids, count the number V of vertices, the number F of faces, and the number E of edges. Check that in each case V - E + F = 2

Respuesta :

steffaniasierrag
steffaniasierrag steffaniasierrag
  • 06-10-2019

Answer:

1. The tetrahedron has 4 vertices, 6 edges and 4 faces. Then V-E+F=4-6+4=2

2. The cube has 8 vertices, 12 edges and 6 faces. Then V-E+F=8-12+6=2

3. The octahedron has 6 vertices, 12 edges and 8 faces. Then V-E+F=6-12+8=2

4. The icosahedron has 12 vertices, 30 edges and 20 faces. Then V-E+F=12-30+20=2

5. The dodecahedron has 20 vertices, 30 edges and 12 faces. Then V-E+F=20-30+12=2.

Answer Link

Otras preguntas

what is 7/9 as a decimal terminating or repeating decimal
43.586 rounded to the nearest tenth
What is the range of {(1, 2), (3, 4), (5, 6)}?
Paloma can run the 100 meter dash in sixteen And one fith .savan best time is 19.8 seconds .how much castre is Paloma than savannah
(3x-4)∧2=8 how do i solve this
what is the perimeter of a triangle with vertices of (5,1) (-3,3) (-7,-3)
The speed at which a certain computer can access the internet is 2 megabytes per second. How fast is this in megabytes per hour.
Write an equation yo model each situation then solve ! A stack of 12 bricks is 27 in. High. What is the height of each brick
A large box of crayons holds 60crayons.There 10 crayons in each row how many rows are there ? What's the situation and the equation?
What is the biggest states when it comes to total area and the number of citizens? Thanks for your answer!