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

how do you write a ratio as a percent
Of the fifth-grade students, 20/25 went to the book fair. Of the students that went to the book fair, 8/10 bought at least one book. What fraction of studen
name three ways that colonists protested the tax laws passed by parliament
How did the Embargo Act of 1807 affect South Carolina?
true or false the least inclusive group to which an organism can belong is the kingdom
what makes a object hot or cold?
put 1/4 3/6 1/8 in order from least to greatest
How does kinetic energy affect the stopping distance of a vehicle traveling at 30 mph compared to the same vehicle traveling 60 Mph
all of the following processes require the cell to use atp energy,except
Why do some trees have a life span, while some don't?