triangle
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
a square
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.
A vertical cross section of a square pyramid is obtained by slicing through the pyramid along a plane that passes through its apex and is perpendicular to the base. This cross section typically takes the shape of a triangle, with the base of the triangle corresponding to one side of the pyramid's square base and the apex representing the peak of the pyramid. The height of the triangle reflects the height of the pyramid, while the base length can vary depending on where the cut is made. This representation helps visualize the pyramid's structure in a two-dimensional format.
cone, cylinder, rectangular prism, square pyramid and triangular prism
A cylinder has a circular cross section, a rectangular prism has a rectangular cross section.