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An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.

Respuesta :

Answer:[tex]Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )[/tex]

Step-by-step explanation:

Given

Length is 19 in of original box so required length of square box is 19-2x

as width is also equal to length of box

therefore width=19-2x in.

height of box =x in.

[tex]Volume =length\times width\times height[/tex]

[tex]Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )[/tex]

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