https://file.aiquickdraw.com/mathbot/file/1727975513178hqtynuc4.jpg

The figure in the image appears to be a triangular prism, which consists of a triangular base and a rectangular face extended through the height of the prism.

To find the volume of a prism, you can use the following formula:

\[
V = B \times h
\]

where:
- \( V \) is the volume,
- \( B \) is the area of the base (in this case, the triangle),
- \( h \) is the height or length of the prism (which is along the 20 cm edge).

Let's break it down:

1. **Calculate the area of the triangular base**:
   The base of the triangle is 9 cm, and the height of the triangle (perpendicular to the base) is 4 cm. The area of a triangle is given by:

   \[
   \text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 9 \times 4 = 18 \, \text{cm}^2
   \]

2. **Find the height/length of the prism**:
   The length (or height) of the prism is given as 20 cm.

3. **Calculate the volume**:
   Now, multiply the area of the triangular base by the length of the prism:

   \[
   V = 18 \, \text{cm}^2 \times 20 \, \text{cm} = 360 \, \text{cm}^3
   \]

Thus, the volume of the triangular prism is **360 cubic centimeters (cm³)**.

Do you want more details or have any further questions?

Here are some related questions you might find helpful:
1. How do you find the surface area of a triangular prism?
2. What is the difference between a prism and a pyramid?
3. How does the Pythagorean theorem help in solving problems involving right triangles?
4. How would the volume change if the length of the prism was doubled?
5. Can you explain the relationship between base area and height in calculating volume?

**Tip**: Always verify whether the triangle is right-angled; this simplifies calculations using standard area formulas.

Learn how to find the volume of a triangular prism with a triangular base of 9 cm by 4 cm and a length of 20 cm. This problem uses key geometry concepts such as the area of a triangle and volume formula for prisms. Suitable for students in Grades 6-8.

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