Math Problem Statement
A rectangular piece of sheet metal has the width 50 ππ shorter than its length. From each corner, a 10 ππ Γ 10 ππ square is cut out and the flaps are then folded up to form an open box. If the volume of the box is 104000 ππ3, find the length and width of the original piece of sheet metal.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of 3D Shapes
Algebra
Formulas
Volume of a rectangular box: V = L Γ W Γ H
Quadratic equation formula: ax^2 + bx + c = 0
Theorems
Quadratic formula
Suitable Grade Level
Grades 9-11
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