A box has a length of $2^{1 / 2}$ feet, a width of $3^{1} / 3$ feet, and a height of $4^{1} / 4$ feet. The formula for volume is length $x$ width $x$ height. Which of the following is the volume of the box in cubic feet?

Step 1 ：Given a box with a length of \(2^{1 / 2}\) feet, a width of \(3^{1} / 3\) feet, and a height of \(4^{1} / 4\) feet.

Step 2 ：First, calculate the actual values of the length, width, and height. The length is approximately 1.4142135623730951 feet, the width is approximately 1.4422495703074083 feet, and the height is approximately 1.4142135623730951 feet.

Step 3 ：Next, calculate the volume of the box using the formula for the volume of a rectangular prism, which is length x width x height.

Step 4 ：Multiplying the length, width, and height together, we find that the volume of the box is approximately 2.884499140614817 cubic feet.

Step 5 ：Final Answer: The volume of the box in cubic feet is \(\boxed{2.884499140614817}\).