https://file.aiquickdraw.com/mathbot/file/17266686453588p1b1h3x.jpg

The image shows a rectangular prism with the following dimensions:
- Length: \(1 \frac{1}{2}\) inches
- Width: 2 inches
- Height: 3 inches

To find the volume of the rectangular prism, we use the formula:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

1. Convert the mixed number \(1 \frac{1}{2}\) to an improper fraction or a decimal:
   \[
   1 \frac{1}{2} = \frac{3}{2} \, \text{inches} \, \text{or} \, 1.5 \, \text{inches}.
   \]

2. Now, calculate the volume:

\[
\text{Volume} = 1.5 \, \text{inches} \times 2 \, \text{inches} \times 3 \, \text{inches}
\]

\[
\text{Volume} = 9 \, \text{cubic inches}
\]

Thus, the volume of the rectangular prism is **9 cubic inches**.

Would you like further details or explanations?

Here are five related questions for practice:
1. What would the volume be if the height was doubled?
2. How would the volume change if the length was reduced to 1 inch?
3. If the width is increased by 50%, what would the new volume be?
4. How can you calculate the surface area of this rectangular prism?
5. What is the volume of a cube with an edge length of 3 inches?

**Tip**: When dealing with mixed numbers, always convert them to improper fractions or decimals before performing calculations.

What is the volume of the rectangular prism in cubic inches? (Dimensions: 1 1/2 in, 2 in, 3 in)

Learn how to calculate the volume of a rectangular prism with dimensions of 1 1/2 inches, 2 inches, and 3 inches. This geometry problem covers key concepts in volume calculation and converting mixed numbers for students in Grades 4-6.

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