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) $2.2\text{ in}^3/\text{cookie}$ .

Step-by-step 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 $11\times6\times3= 198 \ in^3$

Then, the ratio of cubic inches per cookie would be

$=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}$

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

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