Question

The movie theater received a shipment of candy boxes in a carton that has a volume of about 64,000 cubic inches. Each candy box is 6 inches by 5 inches by 1/2 inch. The carton is completely full. About how many candy boxes are in the carton?
About 2,000


About 10,000


About 1,000


About 4,000

Answer 1

The first thing we need to do is find the volume of each candy box. Remember that the Volume=WidthxLengthxHeight, so $V=wlh$. 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:
$V=(6)(5)( \frac{1}{2} )$
$V=15$

Now that we know the volume of each candy box, we can divide the total volume 64000 $in^{3}$ by the volume of each candy box to find how many of them are in the carton:  
$\frac{64000}{15} =4266.67$

We can conclude that there are about 4000 candy boxes in the carton.

Answer 2

Volumen carton= 64000 inches³
 Volume of a candy box= 6 inx 5 inx 1/2 
 Volume of a candy box=15 inches³

 Then, you have that the total candy boxes in the carton is:

 x=640000 inches³/15 inches³
 x=4267 candy boxes

 About how many candy boxes are in the carton? There are 4267 candy boxes