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We are given that the box contains 30 cubes, with 2 layers of 15 cubes in each layer. Each cube has a side length of \( \frac{1}{2} \) inch.

### Step 1: Dimensions of the box
- The cubes are \( \frac{1}{2} \) inch on each side.
- Since there are 15 cubes in each layer and 2 layers, we can figure out the box's dimensions:
  - **Length**: There are 5 cubes in one row (as we can see in the picture), so the total length is \( 5 \times \frac{1}{2} = 2.5 \) inches.
  - **Width**: Since there are 3 cubes across the width (based on the picture), the total width is \( 3 \times \frac{1}{2} = 1.5 \) inches.
  - **Height**: The box has 2 layers, so the height is \( 2 \times \frac{1}{2} = 1 \) inch.

### Step 2: Volume of the box
The volume of a rectangular prism (the box) is calculated using:
\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]
Substituting the values:
\[
V = 2.5 \, \text{inches} \times 1.5 \, \text{inches} \times 1 \, \text{inch} = 3.75 \, \text{cubic inches}
\]

Thus, the volume of the box is \( \boxed{3 \frac{3}{4}} \) cubic inches.

Would you like further clarification? Here are some related questions to explore:

1. How do you calculate the volume of a rectangular prism?
2. What if the cube dimensions were changed—how would that affect the box's volume?
3. How can you check if all cubes fit into the box?
4. How would the volume change if an additional layer were added?
5. How do you convert fractional inches into decimals for such problems?

**Tip**: Always double-check the dimensions of the objects and how they fit into the space to avoid miscalculations.

Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?

Learn how to calculate the volume of a rectangular box containing 30 cubes, each with a side length of 1/2 inch. This math problem involves determining the dimensions and volume of the box, suitable for students in Grades 5-7.

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