https://file.aiquickdraw.com/mathbot/file/17306666764819ftiu746.jpg

The image shows a triangular prism with the following given dimensions:

- The area of the triangular base is \( 40 \, \text{cm}^2 \).
- The height (length) of the prism is \( 6 \, \text{cm} \).

To find the volume of a prism, you can use the formula:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Here:
\[
\text{Volume} = 40 \, \text{cm}^2 \times 6 \, \text{cm} = 240 \, \text{cm}^3
\]

### Answer:
The volume of the prism is \( 240 \, \text{cm}^3 \).

Would you like further details on this solution or have any questions?

### Related Questions:
1. How do you find the volume of other types of prisms?
2. What if the area of the base is given indirectly; how would you calculate it?
3. How does the formula for volume differ between triangular and rectangular prisms?
4. Can you use the volume formula for prisms with different shaped bases?
5. How would you solve for the height if only the volume and base area are given?

### Tip:
For any prism, the volume is always the area of the base multiplied by the height (distance between the two bases).

Figuren viser en skitse af et prisme. Hvad er rumfanget af prismet?

Learn how to calculate the volume of a triangular prism with a base area of 40 cm² and height of 6 cm. This guide explains the step-by-step solution for finding the volume of prisms using the formula Volume = Base Area × Height, suitable for students in Grades 7-9.

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