Which of the following shapes is defined as a solid object with identical ends and flat faces that maintains the same cross-section along its length?

Which of the following shapes is defined as a solid object with identical ends and flat faces that maintains the same cross-section along its length?

• A. Spherical Shape
• B. Prism
• C. Cylinder
• D. Square Pyramid

Answer: (B)

The definition provided in the question unmistakably describes a prism. A prism is a three-dimensional geometric figure that possesses two parallel and congruent bases connected by rectangular faces. The defining characteristic of a prism is that its cross-section remains constant along its length, meaning that if you were to slice it perpendicular to its length at any point, the resulting shape would be identical to the bases. In contrast, a spherical shape has no edges or vertices and is not associated with flat faces or uniform cross-sections; it is a rounded object. A cylinder, while similar to a prism in that it has identical ends, contains curved surfaces rather than flat faces, which makes it distinct from a prism. Lastly, a square pyramid has a square base and triangular faces that converge to a single point on top. Its cross-section varies depending on where you slice it, failing to meet the criterion of maintaining the same cross-section throughout its length. Therefore, the correct identification of the shape based on the given definition is indeed a prism.

The definition provided in the question unmistakably describes a prism. A prism is a three-dimensional geometric figure that possesses two parallel and congruent bases connected by rectangular faces. The defining characteristic of a prism is that its cross-section remains constant along its length, meaning that if you were to slice it perpendicular to its length at any point, the resulting shape would be identical to the bases.

In contrast, a spherical shape has no edges or vertices and is not associated with flat faces or uniform cross-sections; it is a rounded object. A cylinder, while similar to a prism in that it has identical ends, contains curved surfaces rather than flat faces, which makes it distinct from a prism. Lastly, a square pyramid has a square base and triangular faces that converge to a single point on top. Its cross-section varies depending on where you slice it, failing to meet the criterion of maintaining the same cross-section throughout its length. Therefore, the correct identification of the shape based on the given definition is indeed a prism.