Question

from a 38 in by 38 inch piece of metal, squares are cut of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x

Answer 1

draw the figure without the squares on each corner

fold the figure to make the box

find the volume of the box

`\begin{gathered} V=x\cdot(38-2x)\cdot(38-2x) \\ V=4x^3-152x^2+1444x \end{gathered}`