1. **Stating the problem:** We are given a right trapezoidal prism with dimensions 8 cm (length), 4 cm (height of trapezoid), and 5 cm (base of trapezoid). We need to find the volume of this prism. 2. **Formula used:** The volume $V$ of a prism is given by the formula: $$V = \text{Area of base} \times \text{length}$$ 3. **Calculate the area of the trapezoidal base:** The trapezoid has two parallel sides: 5 cm (base) and 8 cm (top side, given as slanted side), and height 4 cm. The area $A$ of a trapezoid is: $$A = \frac{(a + b)}{2} \times h$$ where $a=5$, $b=8$, and $h=4$. 4. **Calculate the area:** $$A = \frac{(5 + 8)}{2} \times 4 = \frac{13}{2} \times 4 = 6.5 \times 4 = 26 \text{ cm}^2$$ 5. **Calculate the volume:** The length of the prism (depth) is 5 cm (assuming the 8 cm is the slanted side of trapezoid, length is the dimension perpendicular to the trapezoid face, which is 5 cm). Volume: $$V = 26 \times 5 = 130 \text{ cm}^3$$ 6. **Conclusion:** The volume of the right trapezoidal prism is $130$ cubic centimeters. Note: The given options do not include 130 cm^3, so please verify the length dimension or the interpretation of the prism's dimensions.