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The problem in the image asks for the conversion of the density of water from the CGS system (given as \(1 \, \text{g/cm}^3\)) to the International System of Units (SI).

### Steps for Conversion:

1. The density in the CGS system is given as \(1 \, \text{g/cm}^3\).
2. In SI units, the standard unit for density is \( \text{kg/m}^3 \).
3. We need to convert \(1 \, \text{g/cm}^3\) to \( \text{kg/m}^3\).

#### Conversion factors:
- \(1 \, \text{g} = 10^{-3} \, \text{kg}\)
- \(1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3\)

Now, applying the conversions:
\[
1 \, \text{g/cm}^3 = \frac{10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3} = 10^3 \, \text{kg/m}^3
\]

### Answer:
The correct answer is \(10^3 \, \text{kg/m}^3\), which corresponds to option **e** in the provided multiple-choice options.

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Would you like more details on this conversion or any related questions? Here are 5 related questions for further exploration:

1. What is the difference between CGS and SI units?
2. How do you convert volume units from cm\(^3\) to m\(^3\)?
3. How would you convert a value in the SI system back to the CGS system?
4. What is the physical meaning of density, and how does it apply in real-world situations?
5. What are the common uses of density in engineering and physics?

**Tip**: Always remember that when converting between unit systems, both the mass and volume need to be adjusted based on the system's standard units.

Mass density of water in the CGS system is 1 g/cm^3. If this mass density is converted to the International System (SI), what will its value be?

Learn how to convert the density of water from 1 g/cm^3 in the CGS system to the SI system. This problem focuses on unit conversions and understanding the relationship between grams, kilograms, and cubic meters. Suitable for Grades 8-10.

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