1. **State the problem:** We need to find the area of the base $B$, the height $h$ of the prism, and the volume $V$ of the prism. 2. **Given:** The base is a pentagon composed of a rectangle and a right triangle. The rectangle has sides 7 and 8 units, and the triangle has legs 3 and 5 units. The height of the prism $h$ is given as 8 units. 3. **Find the area of the base $B$:** - The base consists of a rectangle and a right triangle. - Area of rectangle = length $\times$ width = $7 \times 8 = 56$ units². - Area of right triangle = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 3 \times 5 = \frac{15}{2} = 7.5$ units². - Total base area $B = 56 + 7.5 = 63.5$ units². 4. **Height of the prism $h$:** Given as 8 units. 5. **Volume $V$ of the prism:** - Volume formula for prism: $$V = B \times h$$ - Substitute values: $$V = 63.5 \times 8$$ - Calculate: $$V = 508$$ units³. **Final answers:** - Base area $B = 63.5$ units² - Height $h = 8$ units - Volume $V = 508$ units³