In which diagrammatic representation can a piping system be viewed in three dimensions?

The isometric diagram is the correct choice for representing a piping system in three dimensions because it allows for the visualization of an object's dimensions and its spatial relationships in a way that approximates how they would appear in reality. This type of diagram employs a specific projection that maintains proportionality and illustrates three axes at 120-degree angles from each other, enabling a clear depiction of depth, width, and height.

This method is particularly useful in engineering and design applications because it helps convey complex configurations, making it easier for designers and engineers to communicate their ideas and for others to understand how components fit together in a three-dimensional space. The utilization of isometric drawing is prevalent in technical drawings and visualizations, offering a clear perspective that aids in the interpretation of the layout and design of piping systems.

Looking at the other options:

• Orthographic projection primarily represents objects in two dimensions through several views (typically top, front, and side) and does not provide the depth that is vital for understanding the layout of a piping system.

• Perspective drawing simulates depth and volume, but it's generally used more for artistic representation and can introduce distortion, making it less precise for technical specifications.

• A flowchart is designed to illustrate processes or workflows and lacks spatial representation entirely,