The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For Nicol's slice of watermelon, we can determine the base area. The width of the slice is 1 inch, and the length is 105 inches. Therefore, the base area \( A \) is:
\[ A = \text{Width} \times \text{Length} = 1 , \text{in} \times 105 , \text{in} = 105 , \text{in}^2 \]
The height of the pyramid is given as 8 inches.
Now we can calculate the volume:
\[ V = \frac{1}{3} \times 105 , \text{in}^2 \times 8 , \text{in} \]
Calculating the multiplication first:
\[ 105 \times 8 = 840 , \text{in}^3 \]
Now, substituting back into the volume formula:
\[ V = \frac{1}{3} \times 840 , \text{in}^3 = 280 , \text{in}^3 \]
Therefore, the volume of Nicol's watermelon slice is approximately:
\[ \boxed{280} , \text{in}^3 \]
After checking your options, it seems like none of the provided options (104.23 in., 205 in., 28 in., 84 in.) matches with 280 in. However, if any mistake or confusion arises, please check if the dimensions provided are correctly noted or if there are any other aspects I might need to consider.