characteristics are:
The lateral faces are triangles.
it is three-dimensional.
The lateral faces are not congruent.
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An oblique pyramid is either one whose base is not a regular polygon or one whose apex is not vertically above the centre of its base.
right pyramid oblique cone right cone oblique pyramid
If we're talking in purely geometric terms: If the edges of a prism/cylinder make a right angle with the base, it is called a right prism/cylinder. If not, it is an oblique prism/cylinder...it will look as if it were slanting to one side instead of standing straight. Similarly, if the top vertex of a pyramid/cone is directly above the center of the base, it is a right pyramid/cone. Otherwise, it is an oblique pyramid/cone. Again, it will look a bit askew.
The number of bases they do not have in common. A pyramid has one base, but a prism has two bases.
The answer depends on the what characteristic of the pyramid you want the formula for: its surface area, its volume or something else.