A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.
The vertical cross section of a right vertical cone is a triangle if that cross section is taken from the vertex. Any other vertical cross section will reveal a hyperbola (with endpoints on the base of the cone). A link can be found below.
They are similar, however, the distinctiion is that the pyramid has a rectangular base with triangular faces meeting in a vertex (thus forming the pyramid shape), while the prism has a congruent (identical) cross-section, like a loaf of bread. So the prism has two rectangular "ends".
rectangle
It will be one of:a triangle if where the cross section cuts the base is through two adjacent sides;an irregular quadrilateral if where the cross section cuts the base is through two opposite sides but not parallel to a side of the base; ora trapezium if where the is the cross section cuts the base is parallel to a side of the base.
It is a rectangle which is similar to the base.
It is a rectangle.
It is a rectangle which is similar to (but smaller than) the rectangular base.
The vertical cross sections are trapezia or triangles. The horizontal cross sections are rectangles which are mathematically similar to the base.
A triangular prism has a uniformed cross-section whereas a rectangular pyramid does not.
A rectangular prism has the same cross section throughout its length, a pyramid doesn't however
A prism can have a triangular cross-section with a rectangular base
A circle.
It depends on the pyramid. If it is a square based pyramid, a horizontal plane will give a square cross section, a plane inclined by a rotation parallel to one of the base axes will give a rectangular cross section whereas a plane inclined by rotation along both basal axes will result in a parallelogram cross section. Not sure how you get a parallelogram from a pentagonal or hexagonal (etc) pyramid.
cone, cylinder, rectangular prism, square pyramid and triangular prism
A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.
A rectangular prism has a rectangular cross section whereas a cylinder has a circular cross section