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

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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,

number of vertices

number of edges

number of faces = ?

Number of faces

An octahedron has 8 faces and 6 vertices with 12 edges.
Hence, the correct answer is option 2.

Watch 3-min video & get full concept clarity