Final answer:
To find the width of a rectangular prism with a volume of 495 cubic yards, length of 20 yards, and height of 2.5 yards; divide the volume by the product of the length and height. The width is calculated to be 9.9 yards.
Step-by-step explanation:
To find the width of the rectangular prism, we use the formula for the volume of a rectangular prism which is volume = length × width × height. We know the volume (495 cubic yards), the length (20 yards), and the height (2.5 yards), so we can solve for the width with the following steps:
- Substitute the known values into the volume formula: 495 = 20 × width × 2.5.
- Divide both sides by the product of the length and the height to isolate the width: width = 495 / (20 × 2.5).
- Calculate the width: width = 495 / 50.
- Therefore, the width is 9.9 yards.
The width of the rectangular prism is 9.9 yards.