Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
1. Space Figures and Cross Sections
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Exercise 10 Page 692

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

12

Practice makes perfect
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. F+ V= E+2 We are given that a polyhedron has 6 vertices and 8 faces, and want to find the number of edges. To do so, we will use Euler's formula. Let x be the number of edges. We will substitute the given information into the formula and solve for x.
F+V=E+2
8+ 6= x+2
14=x+2
12=x
x=12
We found that the polyhedron has 12 edges.