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 = 6 ft, height = 6 ft.
$\text{Area} = \frac{1}{2} \times 6 \times 6 = 18$ $\text{ft}^2$

Step2: Calculate prism volume

Volume of a prism is $\text{base area} \times \text{length of prism}$. The prism length is 9 ft.
$\text{Volume} = 18 \times 9 = 162$ $\text{ft}^3$

Answer:

162 cubic feet or $162\ \text{ft}^3$