Topics › Geometry › 3-D Design — Scale Models and Cross-Sections
Geometry · G-MG

3-D Design — Scale Models and Cross-Sections

Scale models preserve shape — all dimensions are multiplied by the same scale factor k. Volume scales by k³; area by k².

GeometryCommon Core HSG-MG.A.1G-MGVerified correct ✓

Worked examples

A scale model uses a scale factor of 2:4 for lengths. The real object has a surface area of 182 cm². Find the surface area of the model. Round to 4 decimal places.
Answer: 45.5
A scale model uses a scale factor of 3:2. The real object has a length of 11 cm. Find the corresponding length in the model. Round to 4 decimal places.
Answer: 16.5

Every problem on Pounce is generated and checked by code — never a wrong answer key.

Master 3-D Design — Scale Models and Cross-Sections

Code-verified problems at exactly the right level, explained the way your kid learns.

Start your free trial 🐾

Build up to this

Volume of Pyramids, Cones, and SpheresDilations and Similar Figures

More Geometry topics

Angle Pairs — Supplementary, Complementary, VerticalInterior Angle Sum of a PolygonCoordinate Rules for TransformationsSide Ratios in Similar FiguresPythagorean Theorem — Find Missing SidesSpecial Right Triangles — 30-60-90 and 45-45-90Trigonometric Ratios — sin, cos, tanSolve Right Triangles Using Trig