Math Problem Statement
The two containers are mathematically similar in shape. The larger container has a volume of 3456 cm³ and a surface area of 1024 cm². The smaller container has a volume of 1458 cm³. Find the surface area of the smaller container.
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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