Math III · G-MG.3

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

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

Concept Geometry
Domain Modeling with Geometry
Problem Types

Problem Templates In This Objective

8 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Model and maximize fixed-fencing rectangle area

4 variants
Template 2

Build and optimize a one-variable volume model

4 variants
Template 3

Write and evaluate a total-cost model from geometric measurements and unit prices

4 variants
Template 4

Separate length, area, and volume scale factors

4 variants
Template 5

Check fixed-orientation fit and count aligned copies

4 variants
Template 6

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

4 variants
Template 7

Find total mass or load from a density or capacity rate and an area or volume

4 variants
Template 8

Solve a right-triangle design dimension to stated precision

4 variants