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G-MG.3 Warmup M3-041-A06-V04

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

Decide whether a design is feasible under area, volume, or cost constraints

Problem

Use the design display to identify every storage-bin candidate meeting \(\text{both}~\text{limits}\): volume at least \(75\) and cost at most \(100\). Design F has volume \(72\) and cost \(98\); G has volume \(81\) and cost \(112\).

A comparison table lists volume and cost for designs F and G with minimum volume 75 and maximum cost 100; pass-fail judgments are 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
Decide whether a design is feasible under area, volume, or cost constraints