Question

1. the dimensions of the triangular prism are shown in the diagram. what is the volume of the prism in cubic inches?

Explanation:

Step1: Find base triangle area

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base = $5\frac{1}{2} = \frac{11}{2}$ in, height = 9 in.
$\text{Area} = \frac{1}{2} \times \frac{11}{2} \times 9 = \frac{99}{4} = 24.75$ square inches

Step2: Calculate prism volume

Volume of a prism is $\text{Base Area} \times \text{Length of prism}$. The prism length is 28 in.
$\text{Volume} = 24.75 \times 28$

Answer:

693 cubic inches