Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-1 Space Figures and Cross Sections - Practice and Problem-Solving Exercises - Page 693: 35

Answer

The Euler's formula is valid.

Work Step by Step

Here, we have: $Faces(F)=4$; $Vertices(V)=6$ and $Edges(E)=9$ We will write Euler's formula for two dimensional figures. $F+V=E+1$ or, $4+6=9+1$ or, $10=10$ We can find that both sides are the same which verifies that Euler's formula is valid.
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