If the cube illustrated is cut by a plane midway between opposite faces and the front port...

If the cube illustrated is cut by a plane midway between opposite faces and the front portion is placed against a mirror, the entire cube appears to be formed. The cutting plane is called a plane of symmetry and the figure is said to have reflection symmetry.

a. How many planes of symmetry of this type are there for a cube?

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b. A plane passing through pairs of opposite edges as shown next is also a plane of symmetry. How many planes of symmetry of this type are there in cube

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c. How many planes of symmetry of this type are there in a cube?