Classifying Three-Dimensional Figures and Their Cross Sections

This video tutorial introduces three-dimensional solids, focusing on vocabulary and basic concepts. It covers polyhedrons, non-polyhedron solids, naming conventions for prisms and pyramids, cross sections, and solids of revolution. The lesson aims to familiarize students with the terminology and classification of 3D figures, without delving into problem-solving.

What defines a polyhedron?

• A solid bound by polygons on all sides

• A solid that contains no vertices

• A solid with at least one curved surface

• A solid with only triangular faces

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Which solid has parallel bases and faces connecting these bases?

• Cone

• Prism

• Cylinder

• Sphere

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Which solid does not qualify as a polyhedron?

• Pyramid

• Hexahedron

• Cylinder

• Prism

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How do you name a prism?

• By the shape at the top

• By the number of vertices

• By the shape of the base

• By the length of the edges

What is the shape of the base of a rectangular prism?

• Circle

• Triangle

• Rectangle

• Hexagon

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the base shape of a hexagonal pyramid?

• Circle

• Rectangle

• Triangle

• Hexagon

Tags

CCSS.7.G.A.3

What shape is the cross-section of a cube when sliced parallel to its base?

• Triangle

• Circle

• Trapezoid

• Square

Tags

CCSS.7.G.A.3

What does a cross-section of a cylinder look like when sliced perpendicular to its bases?

• Circle

• Rectangle

• Hexagon

• Triangle

Tags

CCSS.7.G.A.3

What three-dimensional figure is formed by rotating a rectangle around an axis parallel to one of its sides?

• Pyramid

• Cylinder

• Cone

• Sphere

Tags

CCSS.7.G.A.3

What is the result of rotating a triangle around an axis passing through one of its sides?

• Cube

• Sphere

• Cylinder

• Cone

Tags

CCSS.7.G.A.3