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G-MG.3 Warmup M3-041-A05-V03

Use geometric methods to solve design problems under constraints such as cost, space, or ratios.

Check fixed-orientation fit and count aligned copies

Problem

A \(\text{height}-12\text{-}\text{inch}\) cylinder must stand upright in a shelf opening \(10~\text{inches}\) high, with \(\text{all}~\text{other}~\text{dimensions}\) sufficient. Use the diagram to calculate vertical clearance, decide whether it fits upright, and give the total count.

An upright 12-inch cylinder is compared with a 10-inch shelf opening using vertical dimension arrows; the fit decision is withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-MG.3
Category
Geometry
Domain
Modeling with Geometry
Objective
Use geometric methods to solve design problems under constraints such as cost, space, or ratios.
Problem type
Check fixed-orientation fit and count aligned copies