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

Divide 5 in the ratio 13:7
What part of the brain controls muscle coordination?
What is the minimum speed the rock must have at the top of the circle if it is to always stay in contact with the bottom of the bucket?
What is the discriminant of 3x2 + 6x = 2?
Explain how William Penn’s city of Philadelphia may have influenced the development of values and beliefs of the U.S. Constitution. Your answer should be at lea
Receptors for nonsteroid hormones are located in _____.
Help me please I'm not sure
Garcia company is a perfectly competitive firm. the market price of its output is $10. the firm is currently producing 100 units of output. at this level of out
six sandwiches are being divided evenly among 4 friends. How many sandwiches will each friend rece
What electrical charge is present in the balloons??