An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x.
A. V(x) = 361x

B. V(x) = (19 - 2x)2

C. V(x) = x(19 - 2x)

D. V(x) = x(19 - 2x)2

Question

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. 
 A. V(x) = 361x  
 
 B. V(x) = (19 - 2x)2  
 
 C. V(x) = x(19 - 2x)  
 
 D. V(x) = x(19 - 2x)2

whpalmer4 · Answer

Draw a picture to get started:

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Bottom of the box will be a square with sides of length ? on the diagram.  Height of the box will be x.  Volume of a box is length * width * height.