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Q.

A octahedron has _____ faces and 6 vertices with 12 edges. (Use Euler's formula)


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a

4

b

8

c

12

d

24 

answer is B.

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Detailed Solution

Concept- We were given the information on the number of octahedron vertices and edges in the question. Let's say that an octahedron has F faces, V vertices, F faces, and E edges. Now we may determine the value of F using Euler's rule, F+V=E+2. The number of facets of the octahedron is indicated by this value of F.
Euler's polyhedron formula, Question ImageQuestion Image number of vertices Question ImageQuestion Image number of edges Question ImageQuestion Image number of faces = ?
Question ImageQuestion ImageQuestion ImageNumber of faces Question ImageAn octahedron has 8 faces and 6 vertices with 12 edges.
Hence, the correct answer is option 2.
 
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