Question

find the volume of this triangular prism. be sure to include the correct unit in your answer.

Explanation:

Step1: Calculate base triangle area

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base = 8 cm, height = 6 cm.
$\text{Area of triangle} = \frac{1}{2} \times 8 \times 6 = 24 \, \text{cm}^2$

Step2: Calculate prism volume

Volume of a prism is $\text{Base Area} \times \text{Length}$. The length of the prism is 9 cm.
$\text{Volume} = 24 \times 9 = 216 \, \text{cm}^3$

Answer:

$216$ cubic centimeters (or $216 \, \text{cm}^3$)