A piece of cardboard is 15 cm in length and 8 cm in width. To make a box without lid with this cardboard, 4 identical squares with a side length
are cut out from the corners, and then, the sides are folded up.
Express the volume,
, in relation to
in a polynomial function.
Find the domain by graphing the function.
In order to maximize the volume, what should the side length of each cut-out square be?
Determine the maximum volume.
Find the dimensions of the box. Round your answer to 1 decimal place.