Q. 72

Check whether a polyhedron can have V = 12, E = 6 and F = 8.

according to the data given in question

Vertices (V) = 12, Face(F) = 8 and Edge(E) = 6

By Euler’s formula we know that

Face + Vertices = Edge + 2

So,Face + vertices = 8 + 12 = 20

and Edge + 2 = 6 + 2 = 8

208

Therefore Face + VerticesEdge + 2

So, the polyhedron is not possible for the above data

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Visualising Solid Shapes36 mins
NCERT | Surface Area of Solid Shapes39 mins
RD Sharma | Understanding Shapes (Polygons) Part 142 mins
Make a Solid Grip on Ratios36 mins
The Tsunami32 mins
The Best Christmas Present in the World31 mins
The Ant and the Cricket (Moral)38 mins
NCERT | The Ant and The Cricket41 mins
Decode the Science Behind the Paranormal Activities!32 mins
The Friendly Microbes47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses