1. **State the problem:** Calculate the volume of two different prisms. 2. **Formula for volume of a prism:** $$V = Bh$$ where $B$ is the area of the base and $h$ is the height. 3. **Part c: Hexagonal prism** - Given base area $B = 30.5$ cm² and height $h = 6.5$ cm. - Substitute values: $$V = 30.5 \times 6.5$$ - Calculate: $$V = 198.25 \text{ cm}^3$$ 4. **Part d: Prism with right triangular base** - Base is a right triangle with legs 6 ft and 7 ft. - Area of right triangle base: $$B = \frac{1}{2} \times 6 \times 7 = 21 \text{ ft}^2$$ - Height of prism $h = 5$ ft. - Volume: $$V = 21 \times 5 = 105 \text{ ft}^3$$ **Final answers:** - Volume of hexagonal prism: $198.25$ cm³ - Volume of prism with triangular base: $105$ ft³