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.