please tell why the shape in the first one of the second row is prism?---**Question Stem:**
1. Tick the shapes that are prisms in their boxes.
**Shapes and Associated Boxes:**
* **Shape 1 (Top Left):** A solid with a base that appears rectangular or square, and four triangular faces meeting at a point (Pyramid). Associated box contains an 'X' inside a red circle.
* **Shape 2 (Top Middle):** A solid with two parallel hexagonal bases connected by rectangular faces (Hexagonal Prism). Associated box contains a '√'.
* **Shape 3 (Top Right):** A solid with two parallel triangular bases connected by rectangular faces (Triangular Prism). Associated box contains a '√'.
* **Shape 4 (Middle Left):** A solid with two parallel rectangular (or square) bases connected by rectangular faces (Rectangular Prism or Cube). Associated box contains a '√' with a red line drawn through it.
* **Shape 5 (Middle Middle):** A solid with two parallel circular bases connected by a curved surface (Cylinder). Associated box is empty.
* **Shape 6 (Middle Right):** A solid with two parallel rectangular (or square) bases connected by rectangular faces (Rectangular Prism). Associated box contains a '√'.
* **Shape 7 (Bottom Left):** A solid with a base that appears square, and four triangular faces meeting at a point (Square Pyramid). Associated box is empty.
* **Shape 8 (Bottom Middle):** A solid with two parallel rectangular (or square) bases connected by rectangular faces (Rectangular Prism). Associated box contains a '√' with a red line drawn through the shape and box.
* **Shape 9 (Bottom Right):** A solid with two parallel rectangular (or square) bases connected by rectangular faces (Rectangular Prism). Associated box contains a '√'.
视频信息
答案文本
视频字幕
A prism is a three-dimensional shape that has two parallel and congruent bases connected by rectangular faces. The bases can be any polygon, such as triangles, squares, or rectangles. The key characteristic is that the two bases are identical in shape and size, and they are connected by flat rectangular surfaces.
Looking at the shape in the first position of the second row, we can identify it as a rectangular prism. This shape has two parallel rectangular bases that are exactly the same size and shape. All the faces connecting these bases are also rectangles. This structure perfectly matches the definition of a prism, which is why it gets a checkmark.
To understand why the rectangular shape is a prism, let's compare it with other 3D shapes. Prisms have two parallel, congruent bases connected by rectangular faces. In contrast, pyramids have triangular faces that meet at a single point, cylinders have curved surfaces, and spheres have no flat faces at all. The rectangular shape clearly fits the prism definition.
Let's analyze this step by step. First, we identify the shape as a 3D rectangular object. Second, we check for two parallel bases - yes, the top and bottom faces are parallel. Third, we verify the bases are congruent - they have the same rectangular shape and size. Fourth, we confirm the connecting faces are rectangles. Finally, applying the prism definition, this shape meets all criteria and is indeed a rectangular prism.
In conclusion, the shape in the first position of the second row is definitely a prism. It has two parallel rectangular bases that are congruent, and all the connecting faces are rectangles. This perfectly matches the geometric definition of a prism. Therefore, this shape should be marked with a checkmark to indicate it is indeed a prism.