The first thing we need to do is find the volume of each candy box. Remember that the Volume=WidthxLengthxHeight, so [tex]V=wlh[/tex]. We also know that each candy box is 6 inches by 5 inches by 1/2 inch, so their width=6, their length=5, and their height=1/2. Lets replace those values into our volume equation:
[tex]V=(6)(5)( \frac{1}{2} )[/tex]
[tex]V=15[/tex]
Now that we know the volume of each candy box, we can divide the total volume 64000 [tex]in^{3} [/tex] by the volume of each candy box to find how many of them are in the carton:
[tex] \frac{64000}{15} =4266.67[/tex]
We can conclude that there are about 4000 candy boxes in the carton.
