A solid with 2 parallel and congruent bases cannot be which of the following?
A solid with 2 parallel and congruent bases cannot be a cylinder.
Actually, it can. Think about it. Cylinders have two bases that are circles. Those circles are also parallel. It should be pyramid, because a pyramid has only one base.
A solid with 2 parallel and congruent bases cannot be a sphere.
To determine which of the options a solid with 2 parallel and congruent bases cannot be, we need to understand the characteristics of such a solid.
A solid with 2 parallel and congruent bases is known as a prism. Prisms have several defining properties:
1. Bases: Prisms have two identical bases that are parallel and congruent to each other. These bases can be any polygon, such as triangles, rectangles, or hexagons.
2. Lateral Faces: Prisms also have rectangular or parallelogram-shaped faces connecting the corresponding edges of the bases. These faces are called lateral faces.
Based on these properties, we can determine what a prism cannot be:
1. A sphere: A sphere does not have flat faces, let alone bases that are parallel and congruent. Hence, a solid with 2 parallel and congruent bases cannot be a sphere.
2. A cone: A cone has a circular base and a curved lateral surface that tapers to a point. Therefore, it does not have two parallel bases. Thus, a solid with 2 parallel and congruent bases cannot be a cone.
3. A cylinder: A cylinder has two circular bases that are congruent and parallel. It also has a curved lateral surface connecting these bases. Hence, a cylinder meets the criteria for a solid with 2 parallel and congruent bases (prism).
Thus, the answer is a sphere and a cone. A solid with 2 parallel and congruent bases cannot be a sphere or a cone.