Final answer:
The approximate density of paper clips per cubic inch is found by dividing the number of paper clips by the box's volume, resulting in 17.83 paper clips per cubic inch, which is option B.
Step-by-step explanation:
To find the density of paper clips per cubic inch in the given box, first we need to calculate the volume of the box. We do this by multiplying its length, width, and height:
Volume = Length × Width × Height = 3.3 inches × 1.7 inches × 1 inch = 5.61 cubic inches.
Since there are 100 paper clips in the box, we can now calculate the density by dividing the number of paper clips by the volume of the box:
Density = Number of paper clips / Volume = 100 paper clips / 5.61 cubic inches ≈ 17.83 paper clips per cubic inch.
Therefore, the approximate density of paper clips per cubic inch is 17.83, which corresponds to option B.