17. Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each
corner as shown and then folding along the dotted lines. If
the box is to have a volume of 162 cubic inches, find the
original dimensions of the sheet of cardboard. Complete
parts (a) through (c) below.

a) The ? in the drawing above will be the length bend also the width) of the box as shown. Represent this length in terms of x.
The length will be
inches
b) Use the formula for volume of a box, V=LOW. H, to write an equation in x.
The equation for volume is
c) Solve the equation for x and give the dimensions of the sheet of cardboard. Check your solution.
The dimensions are _in. by _in.