Properties of 3D Shapes

The video tutorial explores three-dimensional shapes, focusing on Platonic solids, prisms, and pyramids. It explains the properties of Platonic solids, including the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The tutorial also covers the characteristics of prisms and pyramids, emphasizing the importance of cross-sections. Additionally, it discusses shapes with curved surfaces, such as cylinders and cones, and their classification. The video encourages viewers to explore Euler's formula to understand why there are only five Platonic solids.

What is a polyhedron?

• A shape with only curved surfaces

• A three-dimensional solid with flat faces and straight edges

• A two-dimensional shape with curved edges

• A shape with both flat and curved surfaces

Which of the following is NOT a Platonic solid?

• Icosahedron

• Tetrahedron

• Cube

• Sphere

How many faces does a dodecahedron have?

• 12

• 8

• 20

• 6

What is a key characteristic of a prism?

• It has a flat base and the same cross-section throughout

• It has triangular faces

• It has a single apex

• It has only curved surfaces

Which shape is a square-based prism?

• Sphere

• Cone

• Tetrahedron

• Cube

What defines the apex of a pyramid?

• The base of the pyramid

• The point where all faces meet

• The center of the base

• The longest edge of the pyramid

Which of the following is a circle-based pyramid?

• Cube

• Cone

• Tetrahedron

• Cylinder

Why is a cylinder considered a prism?

• It has a curved base

• It has a flat base and consistent cross-section

• It has triangular faces

• It has a single apex

Which shape is neither a prism nor a pyramid?

• Cube

• Cylinder

• Octahedron

• Cone

What is the cross-section shape of a trapezium-based pyramid?

• Square

• Trapezium

• Triangle

• Circle