4 sided (or perhaps 5 if you count the base). The base is a square and the four triangular faces rise off each of the 4 edges and meet in a point at the top.
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No because a quadrilateral is a 4 sided 2 dimensional polygon whereas a pyramid is a 3 dimensional polyhedron
A triangular pyramid.
pentagonal pyramid
Tetrahedrons are 4-sided solids. A regular tetrahedron is the equilateral pyramid, having one pyramid as the base and three others the sides.
a square pyramid, also known as a 4 sided pyramid has 8 edges There are 4 edges where the triangular sides meet each other, and there are 4 more edges where the 4 triangular sides meet the square base.