1. **State the problem:** We are given a skewed rectangular prism-like solid with dimensions 4 ft, 6 ft, 9 ft, and 10 ft, and a volume of 264 ft³. We need to understand how these dimensions relate and verify the volume. 2. **Formula for volume of a prism:** The volume $V$ of a prism is given by $$V = \text{Base Area} \times \text{Height}$$ where the base area is the area of the base shape and the height is the perpendicular distance between the bases. 3. **Identify dimensions:** The shape is skewed, so the height is not simply one of the edges. The right angle marker near the lower-left interior suggests the base is a rectangle with sides 4 ft and 10 ft. 4. **Calculate base area:** $$\text{Base Area} = 4 \times 10 = 40 \text{ ft}^2$$ 5. **Calculate height:** Using the volume formula, $$264 = 40 \times h$$ Divide both sides by 40: $$\cancel{40} \times h = \frac{264}{\cancel{40}}$$ $$h = 6.6 \text{ ft}$$ 6. **Interpretation:** The height (perpendicular distance between the bases) is 6.6 ft, which is close to the given 6 ft slanted edge, confirming the shape is skewed but the height is slightly different. **Final answer:** The height of the prism is $6.6$ ft, and the volume calculation matches the given volume of $264$ ft³.