The shape in the image is a rectangular prism (also known as a cuboid). To determine the number of vertices and faces, let's break it down:

• Vertices: Vertices are the points where the edges of the shape meet. A rectangular prism has 8 vertices.

• Faces: Faces are the flat surfaces of the shape. A rectangular prism has 6 faces, which include the front, back, top, bottom, left, and right.

Thus, the shape has:

• 8 vertices
• 6 faces

Would you like further explanation, or do you have any other questions?

Here are 5 related questions to deepen your understanding:

1. How many edges does a rectangular prism have?
2. How does the number of vertices, edges, and faces change for other prisms?
3. What is Euler’s formula, and how does it relate to 3D shapes?
4. Can a rectangular prism have different dimensions for its length, width, and height?
5. What is the difference between a cube and a rectangular prism?

Tip: For any 3D shape, Euler’s formula is a handy tool: Vertices - Edges + Faces = 2. This works for many polyhedra.