1. **Find the volume of Figure 1** which is a rectangular prism with a cylindrical hole. Step 1: Calculate the volume of the rectangular prism. $$V_{prism} = \text{length} \times \text{width} \times \text{height} = 1.1 \times 1.5 \times 0.6 = 0.99 \text{ in}^3$$ Step 2: Calculate the volume of the cylindrical hole. - Diameter = 0.3 in, so radius $r = \frac{0.3}{2} = 0.15$ in. - Height of cylinder = height of prism = 0.6 in. $$V_{cylinder} = \pi r^2 h = \pi \times (0.15)^2 \times 0.6 = \pi \times 0.0225 \times 0.6 = 0.0424 \text{ in}^3$$ Step 3: Subtract the volume of the hole from the prism volume. $$V_{figure1} = V_{prism} - V_{cylinder} = 0.99 - 0.0424 = 0.9476 \text{ in}^3$$ --- 2. **Find the volume of Figure 2, an L-shaped figure composed of two rectangular prisms.** Step 1: Calculate the volume of the larger prism. $$V_{large} = 5.8 \times 4.0 \times 4.2 = 97.44 \text{ cm}^3$$ Step 2: Calculate the volume of the smaller prism. $$V_{small} = 3.6 \times 1.8 \times 4.2 = 27.216 \text{ cm}^3$$ Step 3: Add the volumes to get the total volume. $$V_{figure2} = V_{large} + V_{small} = 97.44 + 27.216 = 124.656 \text{ cm}^3$$ **Final answers:** - Volume of Figure 1 = $0.9476$ cubic inches - Volume of Figure 2 = $124.656$ cubic centimeters