Question

Please help! Correct answers only please!

A student was conducting a study to determine how many mini chocolate chip cookies would fit in a plastic sealed container. He used random packing to find the following.

Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per cookie?

A. 2.2 in^3/cookie

B. 0.45 in^3/cookie

C. 17.82 in^3/cookie

D. 23.76 in^3/cookie

Answer 1

Answer: (A)
`2.2\text{ in}^3/\text{cookie}` .

Explanation:

From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch

Then, the volume of the container would be
`11*6*3= 198 \ in^3`

Then, the ratio of cubic inches per cookie would be

`=\frac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=(198)/(90)\\\\=2.2\text{ in}^3/\text{cookie}`

So, the the ratio of cubic inches per cookie would be
`2.2\text{ in}^3/\text{cookie}` .

Hence, the correct option is (A)
`2.2\text{ in}^3/\text{cookie}` .