Problem preview
G-GMD.4 Warmup M3-037-A10-V01

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

Identify the cross-section shape from a described plane slice of a 3D solid

Problem

What should the cross-section look like for this cut: a plane parallel to the base of a cone, near the top?

Big Picture

What this problem is really about

Use both orientation and location to describe a cone's cross-section. A plane parallel to the base meets the cone at one constant height and preserves the base's rotational symmetry, while similarity makes the section radius proportional to its distance from the vertex. Describe the true planar shape and its relative size, not the foreshortened outline in a perspective sketch.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
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 shape from a described plane slice of a 3D solid