A Rectangular Box Having a Top and a Square Base

question 42

Essay

A rectangular box having a top and a square base is to be constructed at a cost of $1. If the material for the bottom costs $0.35 per square foot, the material for the top costs $0.15 per square foot, and the material for the sides costs $0.20 per square foot, find the dimensions and volume of the box of maximum volume that can be constructed.

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Definitions:

Classifying Organisms

The scientific task of organizing and categorizing biological organisms into a hierarchical system such as kingdom, phylum, class, order, family, genus, and species based on their similarities and differences.

Naming

The act or process of assigning a name to someone or something, which is fundamental in all forms of classification and identification.

Describing

The act of giving detailed information about the characteristics or qualities of something.

Courtship

Behavioral interactions between animals aimed at attracting a mate and leading to reproduction.