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) \(V(x)=4 x^{3}-64 x^{2}+112 x\)

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