Question

select all shapes with a rectangle as a face.

Explanation:

Step1: Analyze the first shape (cone)

A cone has a circular base and a curved surface. Its faces are a circle (base) and the curved surface (not a polygon). So, it has no rectangular face.

Step2: Analyze the second shape (pyramid with a square base)

This pyramid has a square base and triangular lateral faces. All its faces are either square (a type of rectangle? Wait, square is a special case of rectangle, but the lateral faces are triangles. Wait, no, the base is square (rectangle), but the question is about having a rectangle as a face. Wait, maybe I misanalyzed. Wait, the second shape: let's check again. The second shape is a pyramid with a square base and triangular sides. So the base is square (which is a rectangle), but wait, the problem says "rectangle as a face". Wait, maybe the third shape: the purple one is a triangular prism. A triangular prism has two triangular bases and three rectangular lateral faces. So the third shape (purple triangular prism) has rectangular faces. The first shape (cone) has no rectangular faces. The second shape: if it's a square - based pyramid, the base is square (rectangle), but the lateral faces are triangles. Wait, maybe the original problem's second shape: let's re - examine the image. The first is a cone, second is a pyramid (maybe with a triangular base? Wait, the second shape looks like a pyramid with a triangular base? Wait, no, the second shape's base: if it's a triangular - based pyramid (tetrahedron? No, it's a pyramid with a triangular base and three triangular faces? Wait, maybe I made a mistake. Wait, the correct approach:

1. Cone: faces are circle (base) and curved surface. No rectangular faces.
2. Second shape: let's say it's a pyramid with a triangular base (a tetrahedron - like, but no, it's a pyramid with a triangular base and three triangular faces. So no rectangular faces.
3. Third shape: triangular prism. It has two triangular bases and three rectangular lateral faces. So it has rectangular faces.

Wait, maybe the second shape was misidentified. Let's start over:

• Cone: Faces: 1 circular base, 1 curved surface. No rectangles.
• Second shape (yellow pyramid - like): If it's a square - based pyramid, base is square (rectangle), but lateral faces are triangles. But maybe the base is square, so does a square count as a rectangle? Yes, a square is a special case of a rectangle. But maybe the problem considers non - square rectangles? Wait, the question is "rectangle as a face". A square is a rectangle. But let's check the third shape: triangular prism. It has three rectangular faces (the sides) and two triangular bases. So the third shape definitely has rectangular faces. The first shape (cone) has no. The second shape: if its base is square, then it has a square (rectangle) as a face. But maybe in the original problem, the second shape is a pyramid with a triangular base, so all faces are triangles. So the correct shapes with a rectangle as a face are the third one (triangular prism) and maybe the second one if its base is square. But based on the image, the third shape (purple) is a triangular prism, which has rectangular faces. The first (cone) does not. The second: let's assume that the second shape is a square - based pyramid, but maybe the problem's second shape is a different pyramid. Wait, maybe the initial analysis was wrong. Let's go by the standard:

• Cone: No rectangular faces.
• Pyramid (with triangular base): No rectangular faces.
• Triangular prism: Has rectangular faces.

So the shape with a rectangle as a face is the third one (the purple triangular pri…

Answer:

The third shape (the purple triangular prism)