Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Surface Area and Volume Ratios
Scaling and Proportions

Formulas

Volume scaling factor: (V₁ / V₂) = (k³)
Surface area scaling factor: SA₂ = SA₁ × (V₂ / V₁)^(2/3)

Theorems

Scaling theorem for similar figures

Suitable Grade Level

Grades 9-10

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