Math Problem Statement

Select the type of cross section formed when a rectangular prism is cut parallel to its base.

Solution

In the image, the question asks about the type of cross section formed when a rectangular prism is cut parallel to its base.

When a rectangular prism is cut parallel to its base, the cross section will be the same shape as the base. Since the base of a rectangular prism is a rectangle, the cross section formed will also be a rectangle.

Thus, the correct answer is rectangle.

Would you like further details or clarification on this concept?

Here are some related questions you might find interesting:

  1. What happens to the cross section of a rectangular prism when it's cut perpendicular to its base?
  2. How do cross sections differ for other 3D shapes like cylinders or pyramids?
  3. What is the definition of a cross section in geometry?
  4. How does the angle of a cut affect the cross section of a shape?
  5. Can a rectangular prism have a triangular cross section, and under what circumstances?

Tip: Remember that when a prism is cut parallel to any of its faces, the cross section will always match the shape of that face!

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Math Problem Analysis

Mathematical Concepts

Geometry
Solid Geometry
Cross Sections

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8