Question

Can we have a solid with 8 edges, 4 vertices and 10 faces​

Answer 1

Step-by-step explanation:

Ncert solutions

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Mathematics

Science

Chapters in NCERT Solutions - Mathematics , Class 8

Exercises in Visualising Solid Shapes

Question 16

Q8.Can a polyhedron have 10 faces, 20 edges and 15 vertices?

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Ans8: Possibility of this bring a polyhedron can be proved by Euler's formula, i.e

F+V-E=2

F=10 V=15 E=20

=10+15-20

=25-20

=5\ne2

Euler;s formula can't be proved.

Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.