Math Problem Statement

A rectangular piece of sheet metal has the width 50 𝑐𝑚 shorter than its length. From each corner, a 10 𝑐𝑚 × 10 𝑐𝑚 square is cut out and the flaps are then folded up to form an open box. If the volume of the box is 104000 𝑐𝑚3, 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 × W × H
Quadratic equation formula: ax^2 + bx + c = 0

Theorems

Quadratic formula

Suitable Grade Level

Grades 9-11

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