Question

The base of a pyramid is hexagon EFGHCI. all of the points of the hexagon extend and meet at point D. determine which statements are true regarding the given solid.

O the three-dimensional solid is a hexagonal pyramid.


O the three-dimensional solid is a hexagonal prism.


O the solid can be created by stacking the same-size hexagons vertically.


O the solid can be created by stacking dilated hexagons vertically. point d is the apex of the pyramid.

Answer 1

The given solid is a hexagonal pyramid with a converging apex. The statements that are true regarding the solid are: 1. The three-dimensional solid is a hexagonal pyramid. 2. The solid cannot be a hexagonal prism. 3. The solid cannot be created by stacking the same-size hexagons vertically. 4. The solid cannot be created by stacking dilated hexagons vertically.

Step-by-step explanation:

The given solid is a hexagonal pyramid. The base of the pyramid is a hexagon, EFGHCI, and all of the points of the hexagon extend and meet at point D, which is the apex of the pyramid. The statements that are true regarding the given solid are:

1. The three-dimensional solid is a hexagonal pyramid.
2. The solid cannot be a hexagonal prism because a prism has two parallel bases, and in a pyramid, the bases are not parallel.
3. The solid cannot be created by stacking the same-size hexagons vertically because the sides of a pyramid converge at the apex.
4. The solid cannot be created by stacking dilated hexagons vertically because dilating the hexagons would not result in a pyramid shape with a converging apex.