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The problem provided involves a triangular prism with the following known values:
- **Height (h)** = 8 cm
- **Volume (V)** = 216 cm³

The formula for the volume of a triangular prism is given as:

\[
V = B \times h
\]

Where:
- \( V \) is the volume of the prism,
- \( B \) is the area of the triangular base, and
- \( h \) is the height of the prism.

We need to find the area of the base \( B \). To do so, we rearrange the formula to solve for \( B \):

\[
B = \frac{V}{h}
\]

Substituting the known values:

\[
B = \frac{216 \, \text{cm}^3}{8 \, \text{cm}} = 27 \, \text{cm}^2
\]

Thus, the area of the base of the triangular prism is **27 cm²**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How do you find the volume of other types of prisms, like rectangular prisms?
2. What is the formula for finding the area of a triangle?
3. How can you determine the side lengths of the triangular base if only the area is given?
4. How does the shape of the base affect the volume calculation for different prisms?
5. What is the difference between surface area and volume?

**Tip**: Always keep track of units when solving geometry problems. Make sure to match units for volume, area, and length when substituting values into formulas!

A triangular prism has a height of 8 centimeters (cm) and a volume of 216 cm³. What is the area, in cm², of the base of the prism? (The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

Learn how to find the area of the base of a triangular prism with a height of 8 cm and a volume of 216 cm³. This problem demonstrates the application of the volume formula for triangular prisms and is suitable for students in Grades 6-8.

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