An Open Rectangular Box Is to Contain 256 Cubic Inches

question 117

Short Answer

An open rectangular box is to contain 256 cubic inches. Use the Lagrange multiplier method to find the dimensions of the box which uses the least amount of material.

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Definitions:

Judicial Review

The power of courts to assess the constitutionality of laws and government actions, crucial for upholding the rule of law.

Capital Punishment

The legally authorized killing of someone as punishment for a crime, often referred to as the death penalty.

Supreme Court

The highest federal court in the United States, consisting of nine justices and having final appellate jurisdiction over all courts in the nation.

Innocence Project

An organization dedicated to exonerating wrongfully convicted people through DNA testing and reforming the criminal justice system to prevent future injustices.