Question

Choose the correct statement(s) regarding Axis of Symmetry (AOS) in a cube:

• A. Number of 4-fold symmetry $\left(C_4\right)$ are 3
• B. Number of 3-fold symmetry $\left(C_3\right)$ are 3
• C. Number of 3-fold symmetry $\left(C_3\right)$ are 2
• D. Number of 2-fold symmetry $\left(C_2\right)$ are 6

Answer 1

Answer: (A), (D)

Number of 2-fold symmetry $\left(C_2\right)$ are 6

Axis of Symmetry (AOS)
Axis of symmetry $\left(C_n\right)$ is a line about which the object can be rotated by $\left(\frac{{360}^{\circ }}{n}\right)$ and thereby, produce an object indistinguishable from the original object.

4-fold symmetry $\left(C_4\right)$ : Total 3 as shown:

3-fold symmetry $\left(C_3\right)$ : Total 4 as shown:

2-fold symmetry $\left(C_2\right)$ : Total 6 as shown: