The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
In this case, the base of the pyramid is a rectangle with a width of 1.1 inches and a length of 105 inches. The height of the pyramid is 8 inches.
First, we calculate the area of the base:
\[ \text{Base Area} = \text{Width} \times \text{Length} = 1.1 , \text{in} \times 105 , \text{in} = 115.5 , \text{in}^2 \]
Next, we can substitute this value into the volume formula along with the height:
\[ V = \frac{1}{3} \times 115.5 , \text{in}^2 \times 8 , \text{in} \]
Now, calculate the volume:
\[ V = \frac{1}{3} \times 115.5 \times 8 = \frac{924}{3} = 308 , \text{in}^3 \]
Thus, the approximate volume of Nicol's watermelon slice is:
\[ \boxed{308 , \text{in}^3} \]
However, since 308 in³ is not among the options provided and seems to exceed them, please double-check the initial dimensions or any rounding instructions you may have. If we consider the given options only, we could determine if there were any additional constraints or adjust some calculations accordingly to find a rational match.