To calculate the density of an object, you need to use the formula:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]
Given the values:
- Mass = 14.405 grams
- Volume = 8.1 milliliters
First, we divide the mass by the volume:
[tex]\[
\text{Density} = \frac{14.405 \text{ g}}{8.1 \text{ mL}} \approx 1.778395061728395 \frac{\text{g}}{\text{mL}}
\][/tex]
Now, we need to report the density with the correct number of significant figures. The value with the least number of significant figures in the given data is the volume, 8.1 mL, which has 2 significant figures. Therefore, we should round the density to 2 significant figures.
Rounding 1.778395061728395 to 2 significant figures, we get:
[tex]\[
\text{Correct Density} \approx 1.78 \frac{\text{g}}{\text{mL}}
\][/tex]
Thus, the density of the object, reported to the correct number of significant figures, is:
[tex]\[
1.78 \frac{\text{g}}{\text{mL}}
\][/tex]
