It is the height of the prism. There is no need for another name!
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A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism. A solid shape with regular area and height makes a prism.
A square prism can have any height. A cube is a type of square prism, one where the height is the same as the base.
Yes, a square prism's height, length, and width are equal.
The area of the cross section times the height of the prism