A pyramid is a four-sided, three-dimensional figure.
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A three dimensional figure with polygonal faces is called a polyhedron. Specific names draw from the Latin prefixes. For example a four sided figure is a tetrahedron.
The base word for a many sided figure is polygon.All four sided polygons are called quadrilateralThe sub groups of planar (2 dimensional) quadrilaterals are:-rectangle (a special kind of parallelogram)square (a special kind of rectangle (rhomboid))trapeziumrhombus (an equilateral quadrangle which must also be a parallelogram)parallelogramThese are also called quadrangles (as they have four angles as well as four sides).A three dimensional shape with four faces (surfaces) is called a tetragonTetragons have six edges and four vertexes, each where three edges and three faces meet. A triangular pyramid is a tetragon. it is the simplest three dimensional shape.
A quadrilateral is any four-sided two-dimensional figure. Parallelograms such as squares and rectangles are also quadrilaterals.
A three dimensional triangular figure with three faces and a base is called a triangular pyramid. It has four vertices, four faces, and six edges.
The name of a four sided figure (or shape) is called a Square. :)