Solve the Problem $15 \mathrm { in }$
B) $18 \mathrm { in }$

question 170

Multiple Choice

Solve the problem.
-A machine produces open boxes using square sheets of plastic. The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up the sides. If each box must have a volume of 675 cubic inches, find the length of one side of the open box.

• A) \(15 \mathrm { in }\).
• B) \(18 \mathrm { in }\).
• C) 21 in.
• D) \(14 \mathrm { in }\).

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Definitions:

Sample Standard Deviations

A measure that quantifies the amount of variation or dispersion of a set of sample data values.

Margin Of Error

An estimate of the amount by which a sample statistic differs from a population parameter, expressed often as a confidence interval.

Equal Sample Sizes

A condition in statistical analysis where the number of data points or observations in each group or category being compared is the same.

Population Variances

A measure of the dispersion or spread of data points in a population, indicating how much the data varies from the mean of the population.