Colby is finding the surface area of the triangular prism shown. Which expression will give him the correct value of B, the area of the base?

A

B

C

D


To determine the correct expression for \( B \), the area of the base of the triangular prism, we need to focus on the triangular base. The area \( B \) of a triangle is given by:

\[
B = \frac{1}{2} \cdot \text{base} \cdot \text{height}
\]

### Steps to solve:
1. **Identify the base of the triangular prism:** The triangular base dimensions are key.
2. **Use the triangle area formula:** Multiply the base of the triangle by its height, and divide by 2.
3. **Verify the variables in the expressions (A, B, C, or D):** Ensure the correct measurements of base and height are used, ignoring the prism's length for this specific calculation.

To confirm the exact choice (A, B, C, or D), could you provide additional details or share the diagram? Alternatively, if dimensions or expressions for base and height are given, I can verify the best match.

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Would you like me to clarify further, or do you have more details?  

Here are **5 related questions**:
1. How do we find the total surface area of a triangular prism?
2. What distinguishes the base of a prism from other faces?
3. How does the formula for the area of a triangle generalize for different shapes?
4. Can a triangular prism's base be an equilateral triangle? How does it affect calculations?
5. What is the relation between the surface area and volume of a prism?

**Tip:** Always confirm the base and height of a triangle are perpendicular before applying the area formula!

Colby is finding the surface area of the triangular prism shown. Which expression will give him the correct value of B, the area of the base? A B C D

Learn how to find the area of the base (B) of a triangular prism using the formula B = 1/2 × base × height. Understand key concepts in geometry related to triangular prisms and surface area, suitable for Grades 6-8.

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