It creates a triangular frustum.
It creates a trapezium frustum.
Suppose the top face of the pyramid is ABCD with the square EFGH directly below it.Suppose AC and BD meet at P, the apex of the pyramid.Make a cut with a plane through P which is parallel to AB and goes through EF.Make a cut with a plane through P which is parallel to BC and goes through FG.Make a cut with a plane through P which is parallel to CD and goes through GH.Make a cut with a plane through P which is parallel to DA and goes through HE.The result will be the square-based pyramid PEFGH.
A pyramid is a generic term and can have any number (>3) of plane faces. A triangular pyramid has 4 faces, a rectangular one has 5, and so on. A pyramid whose base has n sides has n+1 faces.
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.
Yes. Four solid angles comprising 12 plane angles.
A triangular pyramid has 5 planes. * * * * * In fact, a triangular pyramid is also known as a tetrahedron and as its name suggests, it has 4 plane faces.
It creates a trapezium frustum.
Triangular
Suppose the top face of the pyramid is ABCD with the square EFGH directly below it.Suppose AC and BD meet at P, the apex of the pyramid.Make a cut with a plane through P which is parallel to AB and goes through EF.Make a cut with a plane through P which is parallel to BC and goes through FG.Make a cut with a plane through P which is parallel to CD and goes through GH.Make a cut with a plane through P which is parallel to DA and goes through HE.The result will be the square-based pyramid PEFGH.
All cross sections of a square pyramid that are parallel to the base are squares
A pyramid is a generic term and can have any number (>3) of plane faces. A triangular pyramid has 4 faces, a rectangular one has 5, and so on. A pyramid whose base has n sides has n+1 faces.
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.
Yes. Four solid angles comprising 12 plane angles.
A 3-dimensional shape. 5 plane faces: 3 rectangular, 2 triangular. Triangular faces parallel to one another. 6 vertices 9 edges
The answer depends mainly on the plane which is used to divide the prism.The result can be a rectangular prism (or a cube), a trapezoidal prism, a triangular prism, but to get really exotic shapes the cutting plane needs to be not parallel to any of the faces or diagonals of the prism.
It could have just one - a plane (not plan!) parallel to its bases and halfway between them.
This is an impossible shape. The only 3-d shape with 4 plane faces is a tetrahedron (triangular pyramid). While its base is a triangle, all of its other faces are also triangles and so cannot have parallel sides.