An Open Box with Volume Of $8000$ Cm $3$ Is to Be Constructed by Taking a Piece of Cardboard

question 67

Essay

An open box with volume of $8000$ cm $3$ is to be constructed by taking a piece of cardboard $40$ cm by $60$ cm, cutting squares of side length $x$ cm from each corner. Show that this can be done in two ways, and find the exact dimensions of the box in each case.

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Definitions:

Capital Structure

The composition of a company's liabilities and equity, outlining how a business finances its overall operations and growth.

Component Costs

The various expenses that make up the total cost of financing for a company, including the cost of debt and equity.

Market Values

The current price at which an asset or service can be bought or sold, determined by supply and demand.

Cost Of Debt

The effective rate that a company pays on its borrowed funds, which can include bonds, loans, and other forms of debt.