Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomials
Optimization
Derivatives
Formulas
Volume of a box: V = length × width × height
Polynomial expansion: (a - bx)(c - dx)
Derivative of a polynomial: V'(x) = 12x^2 - 376x + 2184
Theorems
Quadratic Formula
Maximization using Derivatives
Suitable Grade Level
Grades 10-12
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