An Open Box Is to Be Made from a Square

question 93

Multiple Choice

An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below.Express the volume V of the box as a function of x.

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Definitions:

Squared Deviation

The squared differences between each observation and the mean, used as part of the calculation for variance.

Variance

A measure of the dispersion representing the average of the squared differences from the Mean.

Score

A numerical or categorical representation of a performance, achievement, or the outcome of an assessment.

Mean

The arithmetic average of a set of values, calculated by dividing the sum of the values by the number of values.