1. **Stating the problem:** We have a trapezoidal prism with the trapezoid base having top side $4.8$ meters, bottom side $1.2$ meters, and height $1.5$ meters. We want to find the volume of this prism. 2. **Formula for volume of a prism:** The volume $V$ of a prism is given by the area of the base $A$ times the length (or depth) $L$ of the prism: $$V = A \times L$$ 3. **Area of trapezoid base:** The area $A$ of a trapezoid with parallel sides $a$ and $b$ and height $h$ is: $$A = \frac{(a + b)}{2} \times h$$ 4. **Calculate the area of the trapezoid base:** Given $a = 4.8$, $b = 1.2$, and $h = 1.5$ meters, $$A = \frac{(4.8 + 1.2)}{2} \times 1.5 = \frac{6.0}{2} \times 1.5 = 3.0 \times 1.5 = 4.5 \text{ square meters}$$ 5. **Determine the length (depth) of the prism:** The problem does not specify the length (depth) of the prism, so we cannot calculate the volume without this information. **Final answer:** The volume of the prism is given by: $$V = 4.5 \times L$$ where $L$ is the length (depth) of the prism in meters. Please provide the length to find the exact volume.