A Box with an Open Top Is to Be Constructed $b=4$

question 21

Multiple Choice

A box with an open top is to be constructed from a rectangular piece of card board with dimensions $b=4$ in. by $a=28$ in. by cutting out equal squares of side $X$ at each corner and then folding up the sides as in the figure. Express the volume $V$ of the box as a function of $X$ .

• A) \(V(x)=x^{3}-64 x^{2}+112 x\)
• B) \(V(x)=4 x^{3}+32 x^{2}+196 x\)
• C) \(V(x)=4 x^{3}+64 x^{2}+112 x\)
• D) \(V(x)=x^{3}-32 x^{2}+196 x\)
• E) \(V(x)=4 x^{3}-64 x^{2}+112 x\)

---

Definitions:

Net Income

The total profit of a business after all expenses and taxes have been deducted from total revenue.

Closing the Revenue

The process of transferring the balances from the revenue accounts to permanent accounts at the end of an accounting period.

Building Account

An account used to track the costs associated with constructing a building over a period of time.

Original Investments

Original investments refer to the initial amount of money invested in an asset, project, or enterprise by its owners or shareholders.