Question

what is the volume of the prism below? a. 196 units³ b. 392 units³ c. 28 units³ d. 56 units³

Explanation:

Step1: Calculate base triangle area

The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. Here, base = 7, height = 4.
$\text{Area} = \frac{1}{2} \times 7 \times 4 = 14$

Step2: Calculate prism volume

Volume of a prism is $\text{Base Area} \times \text{Length}$. Here, length = 14.
$\text{Volume} = 14 \times 14 = 196$

Answer:

A. 196 units$^3$