A liquid has a density of 17 g/dL. What will be the density in mg/cm3

To convert the density from \( \text{g/dL} \) to \( \text{mg/cm}^3 \), follow these steps:

1. **Convert grams to milligrams**:
   \[
   1 \, \text{g} = 1000 \, \text{mg}
   \]
   So, \( 17 \, \text{g/dL} = 17 \times 1000 \, \text{mg/dL} = 17000 \, \text{mg/dL} \).

2. **Convert deciliters (dL) to cubic centimeters (cm\(^3\))**:
   \[
   1 \, \text{dL} = 100 \, \text{cm}^3
   \]
   So, \( 17 \, \text{g/dL} = 17000 \, \text{mg}/100 \, \text{cm}^3 \).

3. **Final calculation**:
   \[
   \frac{17000 \, \text{mg}}{100 \, \text{cm}^3} = 170 \, \text{mg/cm}^3
   \]

Thus, the density is **170 mg/cm\(^3\)**.

Would you like further details or have any questions?

Here are 5 related questions to expand this topic:
1. How would you convert density from mg/cm³ to kg/m³?
2. If a liquid has a density of 25 g/dL, what is its density in mg/cm³?
3. What is the relationship between volume and density in physical terms?
4. How does the density of a liquid compare to the density of a solid?
5. How does temperature affect the density of liquids?

**Tip**: Always ensure you are converting both the numerator and denominator units properly when converting between density units.

A liquid has a density of 17 g/dL. What will be the density in mg/cm³?

Learn how to convert a liquid's density from 17 g/dL to mg/cm³ using unit conversions. This problem covers key concepts in unit conversion and density, suitable for students in Grades 8-10. Step-by-step solution included.

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