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An isosceles trapezium.

Q: What is the shape of one lateral face of a frustum of a regular pyramid?

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A regular tetrahedron (triangular pyramid).

A pentagonal pyramid.

I doubt it because no matter how big the base is, if you laid the triangles in to the position of the base (ex 4 triangles to a square base) they would have a larger area than the base shape

Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.

A triangular pyramid has these characteristics. The regular triangular pyramid is one of the Platonic shapes.

Related questions

It is the net of its solid shape. If the top of the pyramid is cut off parallel to the base, then it is a truncated pyramid, or a frustum.

It is the net of its solid shape. If the top of the pyramid is cut off parallel to the base, then it is a truncated pyramid, or a frustum.

Rectangle

Triangular.A pyramid has triangular faces

Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.Most likely, a frustum of a sphere.

A tri-lateral pyramid, also known as a regular tetrahedron.

A regular tetrahedron (triangular pyramid).

A circle.

A pentagonal pyramid.

I doubt it because no matter how big the base is, if you laid the triangles in to the position of the base (ex 4 triangles to a square base) they would have a larger area than the base shape

Yes. A polyhedron is a geometric shape with flat surfaces and straight edges, so a a pyramid with a rectangular base qualifies as a polyhedron. It is however not a regular polyhedron, which would require all the faces to be the same shape and size. To change your pyramid to a regular polyhedron you'd have to turn it into a tetrahedron.

A frustum of a cone.