https://file.aiquickdraw.com/mathbot/file/1728680795992l2maf089.jpg

Let's break down the problem:

1. Each cube in the prism has a side length of \( \frac{1}{2} \) inch. 
2. We need to calculate the volume of the entire prism.

To calculate the volume of the prism, we must:

- Determine the number of cubes in the prism.
- Multiply the volume of a single cube by the total number of cubes.

### Step 1: Volume of a single cube
The volume \( V \) of a cube is given by the formula:
\[
V = \text{side length}^3
\]
Since each side of the cube is \( \frac{1}{2} \) inch:
\[
V = \left( \frac{1}{2} \right)^3 = \frac{1}{8} \text{ cubic inches}
\]

### Step 2: Counting the number of cubes in the prism
From the image, the prism seems to be made up of 4 rows and 5 columns on the top face, and it has a depth of 2 layers of cubes. This gives:
\[
\text{Total cubes} = 4 \times 5 \times 2 = 40 \text{ cubes}
\]

### Step 3: Total volume of the prism
Now, we multiply the volume of a single cube by the number of cubes:
\[
\text{Total volume} = 40 \times \frac{1}{8} = 5 \text{ cubic inches}
\]

Thus, the volume of the prism is **5 cubic inches**.

Would you like more details or have any questions?

Here are some related questions:
1. How would the volume change if the side length of each cube was \(1\) inch instead of \( \frac{1}{2} \)?
2. What is the surface area of the prism given the cube dimensions?
3. How would the volume calculation differ for a rectangular prism with different cube arrangements?
4. What would happen to the volume if the number of cubes doubled in all dimensions?
5. Can you calculate the total edge length of all cubes in the prism?

**Tip**: The formula for the volume of a cube is a special case of the formula for the volume of any rectangular prism!

If each cube in the prism below has a side length of 1/2 inch, what is the volume of the prism in inches?

Learn how to calculate the volume of a prism made from cubes with a side length of 1/2 inch. The detailed solution explains how to find the total number of cubes and the volume of each cube. Perfect for students in Grades 5-7.

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