yes! It is an equilateral shape.
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Cubes may be any size as long as they have six equal sides.
No, all sides are UNEQUAL. Nope, all different. All sides equal would be equilateral which means "equal sides"
A parallelogram where all sides are equal is a square.
Not unless all angles are also equal. A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with all angles equal. A square is a rhombus with all angles equal which is a parallelogram with all sides equal and all angles equal.