Problem preview
G-GMD.4 Warmup M3-037-A01-V01

Identify cross-sections of 3D objects and solids generated by rotating 2D objects.

Identify the cross-section formed when a prism is sliced parallel to its base

Problem

If a rectangular prism is cut parallel to its base, what cross-section is formed?

Big Picture

What this problem is really about

Treat a prism as a stack of congruent layers parallel to its base. A slicing plane with that same orientation meets corresponding lateral edges at the same relative height, so the base's side directions, angles, and lengths are preserved in the intersection. Classify the resulting two-dimensional boundary and distinguish it from the original three-dimensional solid.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-GMD.4
Category
Geometry
Domain
Geometric Measurement and Dimension
Objective
Identify cross-sections of 3D objects and solids generated by rotating 2D objects.
Problem type
Identify the cross-section formed when a prism is sliced parallel to its base