Question

question 7 of 10 using the piling method, which of the following can be constructed from polygons alone or discs alone? check all that apply. a. cube b. pyramid (including the vertex) c. cone (including the vertex) d. cone (not including the vertex) e. prism f. cylinder

Explanation:

Step1: Analyze cube

A cube can be thought of as piling up congruent square - shaped polygons (its faces).

Step2: Analyze cone (not including the vertex)

A cone (not including the vertex) can be constructed by piling up discs. As we move from the base of the cone (a disc) upwards, the radius of the discs decreases.

Step3: Analyze prism

A prism can be constructed by piling up congruent polygonal bases. For example, a triangular prism can be thought of as piling up congruent triangular polygons.

Step4: Analyze cylinder

A cylinder can be constructed by piling up congruent circular discs.

Step5: Analyze pyramid (including the vertex)

A pyramid (including the vertex) cannot be constructed by piling up polygons or discs alone. The vertex is a single point that cannot be formed by the piling of 2 - D shapes (polygons or discs) in a simple piling (without deformation in a non - piling - like way to create the vertex).

Step6: Analyze cone (including the vertex)

A cone (including the vertex) cannot be constructed by piling up discs alone. The vertex is a single point that cannot be formed by the piling of circular discs.

Answer:

A. Cube, D. Cone (not including the vertex), E. Prism, F. Cylinder