By Cutting Away Identical Squares from Each Corner of a Rectangular

question 26

Multiple Choice

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 8 in. long and 3 in. wide, find the dimensions of the box that will yield the maximum volume.

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Definitions:

Judgment Sampling

A nonprobability method of sampling whereby elements are selected for the sample based on the judgment of the person doing the study.

Cluster Sampling

A probability sampling method in which the population is first divided into clusters and then a simple random sample of the clusters is taken.

Simple Random Sampling

A sampling method where each member of the population has an equal chance of being selected, ensuring unbiased representation.

Stratified Simple Random Sampling

A sampling method that divides a population into smaller groups or strata and then selects random samples from each stratum.