Problem preview
G-GMD.4 Warmup M3-037-A02-V01

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

Identify the cross-section of a right prism cut by a plane perpendicular to its base

Problem

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

Big Picture

What this problem is really about

A plane perpendicular to a right prism's base sweeps vertically through the solid. One pair of section edges follows the prism's height, while the other pair comes from the segment cut across the two parallel bases. Use the right angles between those directions to classify the section, without assuming its two dimensions are equal.

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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 of a right prism cut by a plane perpendicular to its base