Neither a triangular nor a rectangular pyramid has a square base. A square pyramid has a square base.
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The shape you are describing is a triangular pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that meet at a single point called the apex. The base of the pyramid is a rectangle, which is a quadrilateral with four right angles. The triangular faces of the pyramid connect the vertices of the base to the apex.
The base of a square pyramid is the only face that is a square - all the others are triangular in shape. So you do not need any measurements to determine which is the base.
a triangular prism is different from a rectangular prism because: their names are different a triangular prism has a triangle for its' base a rectangular prism has a rectangle base a triangular prism has less sides than a rectangular prism a rectangular prism has more sides than a triangular prism
The base of a pyramid need not be a square. According to the definition of a pyramid, it must only contain triangular sides that meet at a single point. This means the base of a pyramid to virtually be any type of polygon shape, including even a triangle, square, octagon, etc.
a square pyramid (i found it in my sons math book !)