Question

question 2 of 10
using the piling method, which of the following can be constructed from polygons alone?
check all that apply.
a. pyramid (not including the vertex)
b. cone
c. cylinder
d. prism
e. pyramid (including the vertex)
f. circle

Explanation:

Step1: Recall polygon - based 3 - D shapes

Polygons are 2 - D shapes with straight sides. 3 - D shapes that can be constructed from polygons are polyhedra. Prisms and pyramids (even without the vertex for the base part) are polyhedra.

Step2: Analyze each option

A pyramid (not including the vertex) has a polygonal base and triangular faces which are all polygons. A prism has two congruent polygonal bases and rectangular (polygonal) faces. A cone and a cylinder have curved surfaces and cannot be made from polygons alone. A circle is not a polygon. A pyramid including the vertex has a non - polygonal point (the vertex) that is connected to the polygon base by non - polygonal lines (the edges meeting at the vertex).

Answer:

A. Pyramid (not including the vertex)
D. Prism