Question

find the volume of the prism. a. 120 units² b. 120 units³ c. 630 cm² d. 120 cm³

Explanation:

Step1: Find base triangle area

The base is a right triangle with legs 3 and 4. Area formula: $\frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area of base} = \frac{1}{2} \times 3 \times 4 = 6$

Step2: Calculate prism volume

Volume formula: $\text{Base Area} \times \text{Length of prism}$
$\text{Volume} = 6 \times 20 = 120$

Step3: Confirm unit type

Volume uses cubic units; the diagram uses generic "units", not cm.

Answer:

B. 120 units³