Which term describes a shape that has the same cross sections throughout its length?

The term that describes a shape characterized by having the same cross sections throughout its length is "prismatic." A prismatic shape maintains a constant cross-sectional area regardless of where you cut along its length, which is a key defining feature. This uniformity in the cross-section allows for consistent properties across the entire object, such as strength and material distribution, which is crucial in fields like surveying and structural design.

While "cylindrical" might seem relevant, as a cylinder also has consistent cross-sections (circular), the term "prismatic" is broader, encompassing various shapes, including cylinders. The rectangular choice refers specifically to a four-sided prism. "Conical," on the other hand, invariably has varying cross-sections that change from a base to a single point (the apex), making it distinctly different from the defined uniformity of a prismatic shape. Thus, the correct term that accurately captures the idea of a shape with identical cross-sections throughout its length is indeed prismatic.