Answer:
[tex]f(x)=x(14-2x)(6-2x)[/tex]
Step-by-step explanation:
We are given that
Length of flat piece of material=14 in
Width of flat piece of material=6 in
We have to find the volume of box as a function of x.
An open box is made from flat piece of material by cutting equal squares of length x from the corner and folding up the sides.
Therefore, Height of box=x in
Length of box=14-2x in
Width of box=6-2x in
We know that volume of box=[tex]length\times breadth\times height[/tex]
Using the formula
Volume of box=f(x)=[tex]x(14-2x)(6-2x)[/tex]
