Exploring Cross Sections of Rectangular Prisms

This video tutorial explains how to identify and create various cross sections in a rectangular prism. It covers the creation of triangle, quadrilateral, rectangle, parallelogram, trapezoid, pentagon, and hexagon cross sections by cutting through different faces of the prism. The video emphasizes the geometric properties and the number of faces involved in forming each shape, providing a comprehensive understanding of cross sections in three-dimensional geometry.

How many faces does a rectangular prism have?

• 4

• 6

• 8

• 5

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CCSS.6.G.A.4

What is the maximum number of sides a cross section in a rectangular prism can have?

• 8

• 6

• 10

• 4

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CCSS.7.G.A.3

To create a triangular cross section, through how many faces must the cut be made?

• 3

• 2

• 1

• 4

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CCSS.7.G.A.3

What type of cross section is created by cutting parallel to the base of the prism?

• Triangle

• Hexagon

• Parallelogram

• Rectangle

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CCSS.7.G.A.3

What shape is formed when cutting through four faces at different angles?

• Hexagon

• Triangle

• Trapezoid

• Rectangle

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CCSS.7.G.A.3

How many sides does a pentagon have?

• 7

• 6

• 4

• 5

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CCSS.2.G.A.1

What type of cross section results from cutting through two, three, or four faces at a diagonal?

• Rectangle

• Triangle

• Parallelogram

• Circle

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CCSS.7.G.A.3

What is required to create a hexagonal cross section in a rectangular prism?

• Cut parallel to the base

• Cut at a diagonal

• Cut through six faces

• Cut through five faces

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CCSS.7.G.A.3

Why is it challenging to create a hexagon in a large model of a rectangular prism?

• Requires precision

• Too many faces to cut through

• Not enough space

• Model size is too large

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CCSS.7.G.A.3

Which shape cannot be formed as a cross section in a rectangular prism?

• Heptagon

• Hexagon

• Rectangle

• Pentagon

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CCSS.7.G.A.3