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A Box Is to Be Constructed Out of 196 Square

question 90

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A box is to be constructed out of 196 square feet of material. Suppose the bottom of the box must be reinforced by doubling up the material (essentially, there are two bottoms of the box) . Find the dimensions l, w, and h that maximizes the volume of the box.


Definitions:

Phosphate Groups

Phosphate groups are chemical groups containing phosphorus and oxygen; they play a key role in energy transfer and molecular signaling in cells.

Covalent Bond

A chemical bond involving the sharing of electron pairs between atoms, leading to the formation of a stable molecule.

Hydrogen Bond

A hydrogen bond is a weak bond between two molecules resulting from an electrostatic attraction between a proton in one molecule and an electronegative atom in the other.

Ionic Bond

A type of chemical bond that occurs when an atom transfers an electron to another atom, typically forming a bond between a metal and a nonmetal ion.

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