a square piece of metal with sides 3m has a square of side 'x' cut out of each corner. The metal is then folded up to form a rectangular prism. Find volume in terms of x ans: v=x(3-2x)^2
Refer to the figure below that illustrates the problem.
Since a square with side x is cut out from each corner of the metal, then the resulting box would have the following dimension.
Then, substitute these to the formula of volume of a box which is:
Hence, the volume of the box formed is ` V=x(3-2x)^2` .