body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Test

Continue to next subchapter

Exercise 3 Page 755

Euler's Formula states that the sum of the number of faces F and vertices V of a polyhedron is two more than the number of its edges E.

6+8=12+2

Practice makes perfect

We will verify Euler's Formula for the given polyhedron. Let's consider the given 3-D figure.

We can see that this polyhedron has 6 faces, 8 vertices, and 12 edges. Euler's Formula states that the sum of the number of faces F and vertices V of a polyhedron is two more than the number of its edges E. Let's verify this!

F+V=E+2

SubstituteValues

Substitute values

6+ 8? = 12+2

Add terms

14=14 ✓