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The problem in the image states:

\( M \) is directly proportional to \( R^3 \). When \( M = 375 \), \( R = 5 \). What will the value of \( M \) be when \( R = 2 \)?

### Step-by-Step Solution:

1. **Direct Proportionality**:
   Since \( M \) is directly proportional to \( R^3 \), we can express the relationship as:
   \[
   M = k \cdot R^3
   \]
   where \( k \) is the constant of proportionality.

2. **Finding \( k \)**:
   We know that when \( M = 375 \) and \( R = 5 \):
   \[
   375 = k \cdot 5^3
   \]
   Simplifying:
   \[
   375 = k \cdot 125
   \]
   Solving for \( k \):
   \[
   k = \frac{375}{125} = 3
   \]

3. **Finding \( M \) when \( R = 2 \)**:
   Now, using the constant \( k = 3 \) and \( R = 2 \):
   \[
   M = 3 \cdot 2^3
   \]
   Simplifying:
   \[
   M = 3 \cdot 8 = 24
   \]

### Final Answer:
When \( R = 2 \), the value of \( M \) will be \( 24 \).

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Do you want further details or have any questions?  
Here are some related questions you might consider:

1. How do we find the constant of proportionality in different direct proportionality problems?
2. What happens to the value of \( M \) if \( R \) is halved?
3. Can we apply this method to other powers, like \( R^2 \) or \( R^4 \)?
4. How would the problem change if \( M \) was inversely proportional to \( R^3 \)?
5. What real-life situations might involve direct proportionality to a cube?

**Tip**: Always check for the type of proportionality (direct or inverse) and the power of the variable when solving these types of problems.

Explore how to solve a direct proportionality problem where M is directly proportional to R cubed. Step-by-step solution provided with the constant of proportionality and calculations when specific values are given. Suitable for high school students studying direct proportionality and cube functions.

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