Calculate the density of the liquid if the volume is 1574. cm^3 and the mass is 1.24 kg. Be sure your answer has the correct number of significant digits.

To calculate the density of the liquid, we use the formula for density:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

Where:
- Mass = 1.24 kg
- Volume = 1574 cm³

First, we convert the mass from kilograms to grams because the volume is in cm³, and standard units for density in this case would be grams per cubic centimeter (g/cm³). 

\[
1.24 \, \text{kg} = 1240 \, \text{g}
\]

Now we calculate the density:

\[
\text{Density} = \frac{1240 \, \text{g}}{1574 \, \text{cm}^3} = 0.788 \, \text{g/cm}^3
\]

Since the mass (1.24 kg) has three significant digits, and the volume (1574 cm³) has four significant digits, the final answer should be rounded to **three significant digits** (the lesser of the two).

Thus, the density of the liquid is:

\[
\boxed{0.788 \, \text{g/cm}^3}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the density change if the mass increased but the volume stayed constant?
2. Can density be measured in units other than g/cm³?
3. What happens to the density if both the mass and volume double?
4. How do temperature changes typically affect the density of liquids?
5. Why is it important to match units when calculating density?

**Tip:** When working with significant figures, always round your final result based on the least number of significant digits in the given values.

Learn how to calculate the density of a liquid with a mass of 1.24 kg and a volume of 1574 cm³, using the density formula. This problem focuses on unit conversion from kg to g and rounding the final result to three significant digits, suitable for students in Grades 8-10.

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