Let's break down and solve the two parts of this exercise based on the provided image of 3D shapes.

Part 1: Complete the Table

You need to look at the 3D shapes and match them with the descriptions in the table:

1. "No faces with four right angles"

• The Tetrahedron (D) and the Octahedron (E) have no right angles at all. Their faces are triangular.

2. "Only one face with four right angles"

• The Square-based Pyramid (B) has one square face (with four right angles) and triangular faces.

3. "More than one face with four right angles"

• The Cube (A) and the Cuboid (G) have multiple faces with four right angles.

4. "Three edges at each vertex"

• The Tetrahedron (D) and Octahedron (E) have three edges meeting at each vertex.

5. "More than three edges at one or more vertices"

• The Square-based Pyramid (B) has more than three edges at its apex (top vertex).
• The Pentagonal Prism (H) and Hexagonal Prism (F) also have more than three edges meeting at some vertices.

Part 2: Write the Name of the 3D Shape

1. "A prism with six rectangular faces"

   • This describes a Cuboid (G).

2. "Has four edges meeting at every vertex and all faces triangular"

   • This describes a Tetrahedron (D).

Summary:

For Part 1 (Table):

• No faces with four right angles: D, E
• Only one face with four right angles: B
• More than one face with four right angles: A, G
• Three edges at each vertex: D, E
• More than three edges at one or more vertices: B, H, F

For Part 2:

• Prism with six rectangular faces: Cuboid (G)
• Four edges at every vertex and all faces triangular: Tetrahedron (D)

Would you like more details on any part? Here are five related questions for deeper understanding:

1. What is the difference between a prism and a pyramid in terms of their geometric properties?
2. How can you determine the number of edges and vertices in 3D shapes like the hexagonal prism or octahedron?
3. What makes the cube and cuboid distinct even though both have rectangular faces?
4. Why does the square-based pyramid only have one face with four right angles?
5. How can you calculate the surface area and volume of a tetrahedron?

Tip: To classify 3D shapes, pay close attention to their vertices, edges, and the type of faces they have (rectangular, triangular, etc.).