Final answer:
The container's volume is 1257 cubic feet, and with 409 cubic feet of goods, it is approximately 33% full.
Step-by-step explanation:
To calculate the percent of the container that is full, we first need to find the total volume of the container. Since the container's dimensions are a mix of feet and inches, we'll convert the inches to feet to have consistent units. There are 12 inches in a foot, so 9 inches is ⅓ feet.
Now we can find the container's volume: 20 feet (length) × 8 feet (width) × (7 feet + ⅓ feet) (height), which equals 1257 cubic feet. To determine what percent of 1257 cubic feet is 409 cubic feet, divide 409 by 1257 and multiply by 100.
That calculation gives us: (409 / 1257) × 100 ≈ 32.54%. Rounded to the nearest whole number, the container is approximately 33% full.