https://r2.erweima.ai/mathbot/image/17259678081310nf6eg28.jpg

Let's go over the tasks in the image:

### Task 1:
**"Select the numbers of the shapes that are prisms."**
- Shapes:  
  1. Triangular pyramid  
  2. Cylinder  
  3. Cone  
  4. Square pyramid  
  5. Rectangular prism  
  6. Trapezoidal prism  

### Solution for Task 1:
- **Prisms** are 3D shapes with two parallel, congruent faces called bases, and the other faces are parallelograms.
  - Shape 5 (rectangular prism) and Shape 6 (trapezoidal prism) are prisms.

Thus, **the answer is: 5, 6**.

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### Task 2:
**"Select the numbers of the shapes that are parallelepipeds."**
- Shapes:  
  1. Cube  
  2. Rectangular prism  
  3. Parallelogram-based prism  
  4. Hexagonal prism  
  5. Parallelepiped

### Solution for Task 2:
- A **parallelepiped** is a six-faced figure (polyhedron) where all faces are parallelograms.  
  - Shape 1 (cube), Shape 2 (rectangular prism), and Shape 5 (parallelepiped) are all examples of parallelepipeds.

Thus, **the answer is: 1, 2, 5**.

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Would you like further details on these shapes or any additional help?

### 5 Related Questions:
1. What is the difference between a prism and a pyramid?
2. How do you classify different types of prisms based on their base shapes?
3. What properties define a parallelepiped compared to other polyhedrons?
4. Can a cube be classified as both a prism and a parallelepiped?
5. How do you calculate the volume of a rectangular prism?

### Tip:
When identifying prisms, look for two identical bases connected by parallelogram faces; for parallelepipeds, check if all faces are parallelograms.

1. Select the numbers of the shapes that are prisms. 2. Select the numbers of the shapes that are parallelepipeds.

This task involves identifying prisms and parallelepipeds from a set of geometric shapes. Prisms are defined by having two parallel, congruent bases, while parallelepipeds are six-faced polyhedrons with parallelogram faces. Suitable for students in Grades 6-8, this problem tests understanding of basic 3D geometry.

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