The Volume of a Cube Is Increasing at a Rate $10 \mathrm{~cm}^{3} / \min$

question 110

Short Answer

The volume of a cube is increasing at a rate of $10 \mathrm{~cm}^{3} / \min$ . How fast is the surface area increasing when the length of an edge is $90 \mathrm{~cm}$ .

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Definitions:

Want

A desire for goods or services that are not necessary for basic survival but are perceived as desirable.

Utility

In economics, refers to the total satisfaction received from consuming a good or service.

Satisfaction

The fulfillment or gratification of a desire, need, or appetite.

Green Beans

Edible green pods from certain cultivars of the common bean, often consumed cooked as a vegetable.