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)( (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:

`(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