To determine the density of the object, we follow these steps:
1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) of the object = 26.3 grams
- Volume ([tex]\( V \)[/tex]) of the object = 3 milliliters
2. Write the formula for density:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]
3. Substitute the given values into the density formula:
[tex]\[
\text{Density} = \frac{26.3 \, \text{g}}{3 \, \text{mL}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Density} = 8.766666666666667 \, \frac{\text{g}}{\text{mL}}
\][/tex]
5. Determine the correct number of significant figures:
- The mass [tex]\( 26.3 \)[/tex] has 3 significant figures.
- The volume [tex]\( 3 \)[/tex] has 1 significant figure.
- However, typically in scientific contexts, you would report to the significant figures of the least precise measurement given in the problem set context rather than just the absolute smallest number. Thus, considering the context provided, we can assume that the reported measure should reflect the precision used in calculation (3 significant figures).
6. Round the density to three significant figures:
[tex]\[
\text{Density} = 8.767 \, \frac{\text{g}}{\text{mL}}
\][/tex]
Hence, the density of the object, reported to three significant figures, is:
[tex]\[
8.767 \, \frac{\text{g}}{\text{mL}}
\][/tex]
