https://file.aiquickdraw.com/mathbot/file/1727113526395nu2vv30v.jpg

This image depicts a triangular prism with the given dimensions:

- Height of the triangular face: \(9 \, \text{m}\)
- Base of the triangular face: \(7 \, \text{m}\)
- Length (depth) of the prism: \(4 \, \text{m}\)

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

\[
\text{Volume} = \text{Base Area} \times \text{Length}
\]

Where:
- The base area is the area of the triangular face, which is calculated by:

\[
\text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
\]

### Step-by-step calculation:
1. Base Area of the triangle:
\[
\text{Base Area} = \frac{1}{2} \times 7 \, \text{m} \times 9 \, \text{m} = 31.5 \, \text{m}^2
\]

2. Volume of the prism:
\[
\text{Volume} = 31.5 \, \text{m}^2 \times 4 \, \text{m} = 126 \, \text{m}^3
\]

Thus, the volume of the triangular prism is **126 cubic meters**.

Would you like more details or have any other questions?

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Here are 5 related questions:
1. How do you calculate the surface area of a triangular prism?
2. What is the formula for the volume of other types of prisms?
3. How do you find the volume of a pyramid?
4. What is the relationship between surface area and volume for prisms?
5. Can the volume formula change for prisms with different base shapes?

**Tip**: For any prism, the volume is always the area of the base times the height (or length).

What is the volume of the triangular prism with a height of 9 m, base of 7 m, and length of 4 m?

Learn how to calculate the volume of a triangular prism with a base of 7 m, height of 9 m, and a length of 4 m. This step-by-step guide uses the formula Volume = Base Area × Length and Base Area = 1/2 × Base × Height. Suitable for students in Grades 6-8.

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