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If an Open Box Is Made from a Metal Sheet

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Essay

If an open box is made from a metal sheet 9 in. square by cutting out identical squares from each corner an bending up the resulting flaps, determine the dimensions of the box with the largest volume that can be made.


Definitions:

Cephalic Vein

A superficial vein running along the lateral aspect of the arm from the hand to the shoulder, commonly used for venipuncture.

Fasting Blood Glucose

The level of glucose (sugar) in the blood after an individual has not eaten for at least 8 hours, used to test for diabetes and pre-diabetes.

mg/dL

Milligrams per deciliter, a unit of measurement for concentrations of substances in a liquid.

Phagocytosis

The process by which white blood cells defend the body against infection by engulfing invading pathogens.

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