Question

determine which statements are true regarding the given solid. check all that apply
the three - dimensional solid is a hexagonal pyramid.
the three - dimensional solid is a hexagonal prism
the solid can be created by stacking the same - size hexagons vertically
the solid can be created by stacking dilated hexagons vertically
point d is the apex of the pyramid.

Explanation:

Step1: Analyze the solid type

A hexagonal pyramid has a hexagonal base and triangular faces meeting at a single point (apex). A hexagonal prism has two congruent hexagonal bases and rectangular lateral faces. The given solid has a hexagonal base ( \(FGHI\) - like part) and triangular faces meeting at \(D\), so it is a hexagonal pyramid, not a prism.

Step2: Consider the creation of the solid

Stacking same - size hexagons vertically creates a prism. Stacking dilated (scaled) hexagons vertically can create a pyramid (as the size reduces as we move towards the apex).

Step3: Identify the apex

In a pyramid, the apex is the single point where the triangular faces meet. Here, point \(D\) is that point.

Answer:

The three - dimensional solid is a hexagonal pyramid. The solid can be created by stacking dilated hexagons vertically. Point \(D\) is the apex of the pyramid.