## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Similarity in Geometry

Scale Factors

Ratio of Volumes and Surface Areas

### Formulas

Volume relationship: (V_smaller / V_larger) = k³

Surface area relationship: (Surface area_smaller) = (Surface area_larger) * k²

Scale factor: k = (V_smaller / V_larger)^(1/3)

### Theorems

Properties of Similar Shapes

Proportionality in Similar Objects

### Suitable Grade Level

Grades 9-11

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