The problem asks to convert $25.0 \, \text{kg/m}^3$ to $\text{g/cm}^3$.

1. Problem Description

The problem asks to convert $25.0 \, \text{kg/m}^3$ to $\text{g/cm}^3$.

2. Solution Steps

First, we need to convert kilograms (kg) to grams (g). We know that $1 \, \text{kg} = 1000 \, \text{g}$.

$25.0 \, \frac{\text{kg}}{\text{m}^3} = 25.0 \, \frac{\text{kg}}{\text{m}^3} \times \frac{1000 \, \text{g}}{1 \, \text{kg}}$

Second, we need to convert cubic meters ($\text{m}^3$) to cubic centimeters ($\text{cm}^3$). We know that $1 \, \text{m} = 100 \, \text{cm}$. Therefore, $1 \, \text{m}^3 = (100 \, \text{cm})^3 = 100^3 \, \text{cm}^3 = 1,000,000 \, \text{cm}^3 = 10^6 \, \text{cm}^3$.

$25.0 \, \frac{\text{kg}}{\text{m}^3} \times \frac{1000 \, \text{g}}{1 \, \text{kg}} = 25.0 \, \frac{\text{kg}}{\text{m}^3} \times \frac{1000 \, \text{g}}{1 \, \text{kg}} \times \frac{1 \, \text{m}^3}{10^6 \, \text{cm}^3}$

Now we can simplify:

$25.0 \, \frac{\text{kg}}{\text{m}^3} \times \frac{1000 \, \text{g}}{1 \, \text{kg}} \times \frac{1 \, \text{m}^3}{1,000,000 \, \text{cm}^3} = 25.0 \times \frac{1000}{1000000} \, \frac{\text{g}}{\text{cm}^3} = 25.0 \times \frac{1}{1000} \, \frac{\text{g}}{\text{cm}^3} = 0.025 \, \frac{\text{g}}{\text{cm}^3}$

3. Final Answer

The final answer is $0.025 \, \text{g/cm}^3$.