Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course
Offline Centres

Q.

If a polyhedron has 14 vertices, 8 faces, then find the number of edges of the polyhedron.


see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

15

b

10

c

20

d

30 

answer is C.

(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

Given that,
Number of faces = 8
Number of vertices = 14.
We know Euler’s formula for Polyhedron is,
F + V = E + 2
Where F is the number of faces, V denotes the number of vertices, and E denotes the number of edges.
Here,
F = Number of faces = 8
V = Number of vertices = 14
We need to find the number of edges.
According to Euler’s formula, we get
F + V = E + 2
⇒ 8 + 14 = E + 2
⇒ E + 2 = 22
⇒ E = 20
The number of edges = 20.
The correct option is (3).
 
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
If a polyhedron has 14 vertices, 8 faces, then find the number of edges of the polyhedron.