An Open Rectangular Box with Volume 2 $\mathrm{m}^{3}$ Has a Square Base

question 71

Multiple Choice

An open rectangular box with volume 2 $\mathrm{m}^{3}$ has a square base. Express the surface area of the box as a function $S(x)$ of the length $X$ of a side of the base.

• A) \(S(x)=x^{2}+\frac{8}{x^{2}}\)
• B) \(S(x)=2 x^{2}+\frac{-2}{x^{2}}\)
• C) \(S(x)=x^{2}+\frac{-2}{x^{2}}\)
• D) \(S(x)=2 x+\frac{-2}{x}\)
• E) \(S(x)=x^{2}+\frac{8}{x}\)

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Definitions:

Financial Leverage

A difference between the rate of return on assets and the rate paid to creditors.

Common Stock

A type of security that represents ownership in a corporation, granting holders voting rights and a share in the company's profitability through dividends and/or capital appreciation.

Fixed Costs

Costs that do not change with the level of production or sales within a short period, such as rent, salaries, and insurance.

Gross Margin Percentage

A profitability metric expressed as a percentage, calculated by subtracting the cost of goods sold from sales revenue and dividing the result by sales revenue.