The video tutorial explores various 3D shapes, focusing on prisms, pyramids, and spheres. It explains the properties of these shapes, such as faces, edges, and vertices, and introduces Euler's formula, which links these properties. The tutorial emphasizes the importance of recognizing and naming 3D shapes based on their characteristics.

What is a defining characteristic of a prism?

• It has a circular base.

• It has the same cross-sectional area throughout.

• It has a pointed top.

• It is always a cube.

How is a pyramid different from a prism?

• A pyramid is always a cube.

• A pyramid's sides meet at a point.

• A pyramid has a consistent cross-section.

• A pyramid has a circular base.

What is a hemisphere?

• A pyramid with a circular base.

• A sphere cut in half.

• A 3D shape with a square base.

• A prism with a triangular face.

What is a face in a 3D shape?

• The point where edges meet.

• The curved surface of a sphere.

• The line where two surfaces meet.

• The flat surface of a 3D shape.

What is the formula that links faces, vertices, and edges in a 3D shape?

• Faces + Vertices - Edges = 2

• Edges + Vertices - Faces = 2

• Vertices + Edges - Faces = 2

• Faces + Edges - Vertices = 2