If by "side" you mean face, you might be referring to a heptagonal pyramid (a pyramid with eight faces).
If by "side" you mean edge, you might be referring to a tetragonal pyramid (a pyramid with eight edges).
Or, if you mean it has an eight-sided base, your answer would be an octagonal pyramid (a pyramid with an eight-sides base).
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a rectangular pyramid
Pyramid
A quadrilateral looks like any 4 sided shape such as a square or a rectangle.
It could be a pyramid
square rectangular It can be any polygon shape, depending on how many sides the pyramid has. A four sided pyramid would have a quadrilateral (like a square or a rectangle) base, for instance.