Question

5 a triangular prism has a height of 9 inches. the triangular base has a base of 3 inches and a height of 8 inches. find the volume of the prism. (example 2)

Explanation:

Step1: Calculate base triangle area

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
$\text{Area of base} = \frac{1}{2} \times 3 \times 8 = 12$ square inches

Step2: Calculate prism volume

Volume of a prism is $\text{base area} \times \text{prism height}$.
$\text{Volume} = 12 \times 9 = 108$ cubic inches

Answer:

108 cubic inches