Question

How many edges does a cube have?

• A. 8
• B. 12
• C. 10
• D. 16

Hint:

A cube has 8 vertices, 12 edges, and 6 faces. Use Euler’s formula (\( V - E + F = 2 \)) to verify properties of polyhedra.

Answer 1

The Correct Option is B

Defining a cube
Step 1: A cube is a three
-dimensional shape with six equal square faces.
Counting edges
Step 2: Each face of a cube is a square, and a square has four edges. A cube has 12 edges in total, as each edge is shared by two faces. Alternatively, a cube has 8 vertices and 6 faces, and using Euler’s formula (\( V - E + F = 2 \)), we confirm: \( 8 - E + 6 = 2 \Rightarrow E = 12 \).
Evaluating options
Step 3: Analyze the options:
- (A) 8: Incorrect, as 8 is the number of vertices.
- (B) 12: Correct, as a cube has 12 edges.
- (C) 10: Incorrect, not applicable to a cube.
- (D) 16: Incorrect, exceeds the number of edges.
Thus, the correct answer is (B).