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To solve the problem, we need to calculate how many cubes with edge lengths of \(\frac{1}{4}\) inches will fill a right rectangular prism with a volume of 5 cubic inches.

### Step-by-Step Solution:

1. **Volume of one small cube:**
   The volume of a cube is given by:
   \[
   V_{\text{cube}} = (\text{edge length})^3
   \]
   The edge length of the small cube is \(\frac{1}{4}\) inches, so:
   \[
   V_{\text{cube}} = \left(\frac{1}{4}\right)^3 = \frac{1}{64} \text{ cubic inches}
   \]

2. **Volume of the prism:**
   The total volume of the prism is given as 5 cubic inches.

3. **Number of cubes:**
   To find how many cubes are needed to fill the prism, divide the total volume of the prism by the volume of one small cube:
   \[
   \text{Number of cubes} = \frac{V_{\text{prism}}}{V_{\text{cube}}} = \frac{5}{\frac{1}{64}} = 5 \times 64 = 320
   \]

Thus, the number of cubes needed to fill the prism is **320**.

### Final Answer:
The correct choice is **D) 320**.

Would you like more details or have any questions? Here are some related questions for further practice:

1. What is the volume of a cube with an edge length of \(\frac{1}{3}\) inches?
2. How do you calculate the surface area of a cube?
3. If the volume of a prism is doubled, how many cubes would it take to fill it?
4. What would happen to the number of cubes if their edge length was halved?
5. How do the dimensions of a rectangular prism affect its volume?

**Tip:** When working with cubic measurements, remember that scaling the edge length of a cube scales its volume by the cube of that factor!

A right rectangular prism is completely filled with small cubes. Each small cube has edges that are 1/4 in. long. The volume of the prism is 5 in³. How many cubes does it take to fill the prism?

Find out how many small cubes with 1/4 inch edges can fill a rectangular prism with a total volume of 5 cubic inches. This problem teaches volume calculation and cubic measurements. Suitable for students in Grades 6-8.

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