That is an INCREDIBLY broad question. a 4 sided pyramid has 8, a 3 sided pyramid has 6, and cube has 12, a box octagon (which would look like a really thick stop sign) has 16, and there are litterally countless other shapes with varying edges. A Box Pentagon would have 10, but a double pentagon(depending on how it was exactly shaped) could have 14 or 16.
I don't think there's a three dimensional rectangle, and if the two dimensional triangle exists in three dimensional space, it would have strange properties because it only has 4 edges. There however, a three dimensional rectangular prism. It has 12 edges.
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A rhombus is a two dimensional figure while the concept of {faces, vertices and edges} is relevant to 3-dimensional shapes.
In geometry, a rhomboid is a cube like three-dimensional figure with faces that are called rhombi. It has 6 rhombi faces, 12 edges and 8 vertices.
A three dimensional triangle is also known as a pyramid. In a triagonal pyramid, there are six edges and four corners.
2 dimensional (plane) figures can have three or more straight edges as sides. 3 dimensional (solid) figures can have four or more plane sides (faces). They can have fewer sides if the sides are not straight.
A trapezium has 4 vertices and 4 edges or sides. It is a two dimensional figure so it has only one "face".
3 dimensional is a cube. it has 8 edges
A 3 dimensional pentagon has 15 edges
A hexagon is a plane (2-dimensional) figure with 1 face, 6 vertices and 6 sides (which may be called edges).
An equilateral triangle has sides and angles. There are 3 sides in any triangle. Edges are in three dimensional figures.
On a three-dimensional pyramid there are 5 faces, 8 edges, and 5 verataces. I hope this helped! :)