Question

given this orthographic drawing, which perspective drawing does it match? top front side

Explanation:

Step1: Analyze the top view

The top view is a pentagon, so the 3D shape should have a pentagonal base or top. The cone has a circular base (top view would be a circle), and the cube - like shape (third option) has a square - like top view (if it were a cube, top view is square; here the top view of the third option is more like a square - based prism). The middle option has a pentagonal top (since it's a pentagonal prism), which matches the pentagonal top view.

Step2: Analyze the front view

The front view has three vertical rectangles, which is consistent with a pentagonal prism (a pentagonal prism has five rectangular faces, and from the front, we can see three of them depending on the angle, but more importantly, the structure of a pentagonal prism's front view with vertical rectangles matches). The cone's front view is a triangle, and the third option's front view would be a square - based rectangle view, not matching the three - rectangle front view.

Step3: Analyze the side view

The side view has two rectangles, which is consistent with a pentagonal prism (from the side, we can see two rectangular faces adjacent, which matches the side view of a pentagonal prism). The cone's side view is a triangle, and the third option's side view would be a square - based side view, not matching the two - rectangle side view.

Answer:

The middle perspective drawing (the pentagonal prism - like drawing)