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:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \]
Given:
- Length = 10 cm
- Width = 8 cm
- Height = 16 cm
Substituting these values into the volume formula:
\[ V = 10 , \text{cm} \times 8 , \text{cm} \times 16 , \text{cm} \]
Calculating the volume:
\[ V = 10 \times 8 = 80 , \text{cm}^2 \] \[ V = 80 \times 16 = 1280 , \text{cm}^3 \]
Now we have the volume of the prism, which is \( 1280 , \text{cm}^3 \).
Next, we use the mass of the prism, which is given as \( 1248 , \text{g} \), to calculate the density:
\[ \text{Density} = \frac{1248 , \text{g}}{1280 , \text{cm}^3} \]
Now, performing the division:
\[ \text{Density} = 0.975 , \text{g/cm}^3 \]
Thus, the density of the rectangular prism is:
\[ \boxed{0.975 , \text{g/cm}^3} \]
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