https://file.aiquickdraw.com/mathbot/file/1728410134493p1hnzl03.jpg

The image shows a rectangular prism composed of small unit cubes, and the task is to determine the number of cubes required to fill the prism, as well as to calculate its volume.

To solve this, we will follow the formula for the volume of a rectangular prism:

\[
V = l \times w \times h
\]

Where:
- \( l \) is the length,
- \( w \) is the width, and
- \( h \) is the height of the prism.

### Step 1: Counting the Dimensions
By inspecting the image:
- **Length (l)**: The number of cubes along the length is 4.
- **Width (w)**: The number of cubes along the width is 2.
- **Height (h)**: The number of cubes along the height is 3.

### Step 2: Calculate the Volume
Now, applying the values into the formula:

\[
V = 4 \times 2 \times 3 = 24 \text{ cubic units}
\]

Thus, it will take **24 cubes** to completely fill the prism.

Would you like a more detailed explanation or have any questions? 

### Related Questions:
1. What would the volume be if the height was doubled?
2. How many cubes would be needed if the width was increased to 3 units?
3. What is the surface area of this prism?
4. How would the formula change if we were calculating the volume of a cylinder instead of a prism?
5. Can you derive the formula for volume from its geometric properties?

### Tip:
Always double-check your measurements of the length, width, and height by visualizing the individual cubes clearly to ensure accuracy.

How many cubes are needed to fill the prism in the given image?

Determine the number of unit cubes needed to fill a rectangular prism using the formula V = l * w * h. This problem involves calculating volume with given length, width, and height values, ideal for students in Grades 4-6.

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