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 = 9 m, height = 8 m.
$\text{Area of base} = \frac{1}{2} \times 9 \times 8 = 36 \, \text{m}^2$

Step2: Calculate prism volume

Volume of a prism is $\text{Base Area} \times \text{Length of prism}$. The prism length is 10 m.
$\text{Volume} = 36 \times 10 = 360 \, \text{m}^3$

Answer:

$360$ cubic meters ($360 \, \text{m}^3$)