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To find the volume of a rectangular pyramid, we can use the formula:

\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

### Step-by-Step Solution

1. **Identify the Base Dimensions:**  
   The base of the pyramid is a rectangle with a length of \( 4 \) inches and a width of \( 3 \) inches.

2. **Calculate the Area of the Base:**
   \[
   \text{Base Area} = \text{length} \times \text{width} = 4 \, \text{in} \times 3 \, \text{in} = 12 \, \text{square inches}
   \]

3. **Use the Height of the Pyramid:**
   The height of the pyramid (the perpendicular distance from the base to the apex) is given as \( 2 \) inches.

4. **Calculate the Volume:**
   \[
   \text{Volume} = \frac{1}{3} \times 12 \, \text{in}^2 \times 2 \, \text{in} = \frac{1}{3} \times 24 \, \text{cubic inches} = 8 \, \text{cubic inches}
   \]

### Final Answer
The volume of the rectangular pyramid is:
\[
\boxed{8 \text{ cubic inches}}
\]

Would you like further details or have any questions?

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Here are some related questions to expand your understanding:

1. How does the formula for the volume of a rectangular pyramid differ from that of a cone?
2. What is the effect on volume if the height of the pyramid doubles?
3. How would the volume change if the base dimensions were doubled but the height stayed the same?
4. Can the formula for the volume of a rectangular pyramid be used for a triangular pyramid?
5. How do you calculate the volume of a pyramid with an irregular base?

**Tip:** Always ensure that you identify the correct height, which is perpendicular to the base, not one of the slant heights.

What is the volume of this rectangular pyramid?

Learn how to find the volume of a rectangular pyramid with a base of 3 inches by 4 inches and a height of 2 inches. This geometry problem involves calculating the base area and applying the volume formula for pyramids. Ideal for middle school students in Grades 6-8.

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