Rotation Symmetry Practice - Cube

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Question 1
Draw out all the axes of rotational symmetry for a cube. What is the total axes for this cube?
cube

Answer

Select and check your answer...
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A. 8
B. 10
C. 12
D. 13
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Step by Step Solution 

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Step 1
first axis of rotational symmetry        This is the 1st axis...
                  Order 4
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Step 2
second axis of rotational symmetry            ...the 2nd axis...
                  Order 4
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Step 3
third axis of rotational symmetry            ...the 3rd axis...
                  Order 4
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Step 4
4th axis of rotational symmetry             ...the 4th axis...
                  Order 3
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Step 5
5th axis of rotational symmetry            ...the 5th axis...
                  Order 3
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Step 6
6th axis of rotational symmetry             ...the 6th axis...
                  Order 3
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Step 7
7th axis of rotational symmetry            ...the 7th axis...
                  Order 3
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Step 8
8th axis of rotational symmetry           ...the 8th axis...
                  Order 2
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Step 9
9th axis of rotational symmetry             ...the 9th axis...
                  Order 2
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Step 10
10th axis of rotational symmetry           ...the 10th axis...
                  Order 2
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Step 11
11th axis of rotational symmetry           ...the 11th axis...
                  Order 2
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Step 12
12th axis of rotational symmetry           ...the 12th axis...
                  Order 2
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Step 13
13th axis of rotational symmetry            ...the 13th axis...
                  Order 2
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Step 14
All 13 axes for a cube
In total, there are 13 axis of rotational symmetry for a cube.

Clearly, the answer is D.
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