Visualizing 2D Cross-Sections of Prisms

The video tutorial explains how to determine the shape resulting from slicing a 3D solid, using a block of cheese as an example. It introduces basic terms like solids, figures, faces, edges, and vertices. The tutorial demonstrates how to visualize 2D cross-sections of prisms by slicing them in different directions and angles. It clarifies common misunderstandings about cross-sections and explains how the number of faces a solid has determines the maximum number of edges in a cross-section. The lesson concludes by reinforcing the concept that the maximum edges in a cross-section equal the number of faces on the solid.

What is the shape of the cross-section if a square prism is sliced horizontally?

• Hexagon

• Triangle

• Rectangle

• Square

Tags

CCSS.7.G.A.3

What is the term used for a flat surface of a solid?

• Face

• Plane

• Edge

• Vertex

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CCSS.6.G.A.4

What results from the intersection of a slicing plane with the face of a solid?

• Vertex

• Line

• Point

• Curve

Tags

CCSS.7.G.A.3

What is the plural form of 'vertex'?

• Vertexes

• Vertices

• Vertexies

• Vertice

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CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A

If a rectangular prism is sliced at an angle, what shape is likely not to be formed?

• Circle

• Triangle

• Square

• Rectangle

Tags

CCSS.7.G.A.3

Can a vertical slice through a rectangular prism result in a triangular cross-section?

• Yes

• Sometimes

• Only if sliced diagonally

• No

Tags

CCSS.7.G.A.3

What kind of edges does a rectangle have?

• Curved

• Intersecting

• Perpendicular

• Parallel

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the maximum number of edges a cross-section can have if sliced through a solid with six faces?

• Ten

• Four

• Six

• Eight

Tags

CCSS.7.G.A.3

Which solid needs to be sliced to potentially get an octagonal cross-section?

• Cylinder

• Rectangular Prism

• Cube

• Hexagonal Prism

Tags

CCSS.7.G.A.3

Is it possible to create a cross-section with more edges than the number of faces on the solid?

• Only with special cuts

• Depends on the solid

• No, never

• Yes, always

Tags

CCSS.7.G.A.3