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Question : A solid has 12 vertices and 30 edges. How many faces does it have?

Option 1: 22

Option 2: 24

Option 3: 26

Option 4: 20


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 20


Solution : Given: Vertices = 12
Edges = 30
Let the vertices be V, edges be E and faces be F.
According to the Euler’s formula, V + F – E = 2
⇒ 12 + F – 30 = 2
⇒ F – 18 = 2
⇒ F = 18 + 2 = 20
Hence, the correct answer is 20.

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