Question

1. a student records mass = 34.73 g and volume = 4.42 cm³. calculate the density and round your answer to the correct number of significant figures.

Explanation:

Step1: Recall the density formula

The formula for density ($
ho$) is $
ho = \frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Substitute the given values

Given $m = 34.73\ \text{g}$ and $V = 4.42\ \text{cm}^3$, substitute into the formula: $
ho=\frac{34.73}{4.42}$.

Step3: Calculate the density

First, perform the division: $\frac{34.73}{4.42}\approx7.857466\ \text{g/cm}^3$.

Step4: Determine significant figures

The number of significant figures in mass (34.73) is 4, and in volume (4.42) is 3. When dividing, the result should have the same number of significant figures as the least precise measurement (3 significant figures here).

Step5: Round the result

Round $7.857466$ to 3 significant figures: $7.86\ \text{g/cm}^3$.

Answer:

The density is $\boxed{7.86\ \text{g/cm}^3}$ (rounded to 3 significant figures).