To find the density of the rectangular prism, we can use the formula for density:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
First, we need to calculate the volume of the rectangular prism. The volume \( V \) of a rectangular prism can be calculated using the formula:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \]
Substituting the given values:
\[ V = 10 , \text{cm} \times 8 , \text{cm} \times 16 , \text{cm} = 1280 , \text{cm}^3 \]
Now we have the mass of the prism, which is given as 1,248 grams.
Now, we can calculate the density:
\[ \text{Density} = \frac{1248 , \text{g}}{1280 , \text{cm}^3} \approx 0.975 , \text{g/cm}^3 \]
Thus, the density of the prism is approximately 0.975 g/cm³.