Math Problem Statement
An open box is to be made from a square piece of material 36 cm on a side by cutting equal
squares with a length of x from the corners and turning the sides up.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Optimization
Volume of a Box
Formulas
Volume of a box: V = length × width × height
Length and width after cutting: 36 - 2x
Height of the box: x
Volume formula: V(x) = (36 - 2x)^2 * x
Theorems
Maximization of a quadratic function
Suitable Grade Level
Grades 9-11
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