An Open Box Is to Be Made from a Square

question 94

Multiple Choice

An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . Determine the function, V, in terms of x, that represents the volume of the box.

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Definitions:

Stage 1 Sleep

Stage 1 sleep is the initial phase in the sleep cycle, characterized by light sleep from which one can be easily awakened.

Pineal Gland

A small endocrine gland in the brain that produces melatonin, a hormone that regulates sleep-wake cycles.

Melatonin

A hormone that regulates sleep-wake cycles, produced by the pineal gland in the brain.

Suprachiasmatic Nucleus

A part of the brain located in the hypothalamus, responsible for controlling circadian rhythms.