Final answer:
To find the volume of the box, multiply the length (9/4 feet), width (5/3 feet), and height (5/2 feet). The volume is 9.375 cubic feet.
Step-by-step explanation:
To calculate the volume of a box, you multiply its length, width, and height. The question gives you the dimensions of the box in mixed fractions, which you need to convert to improper fractions first.
The length is 2 (1/4) feet, which can be converted to 9/4 feet. The width is 1 (2/3) feet, which is 5/3 feet when converted. The height is 2 (1/2) feet or 5/2 feet. To find the volume, you would calculate (9/4) x (5/3) x (5/2) feet³. Multiplying the numerators together: 9 x 5 x 5 = 225, and the denominators together: 4 x 3 x 2 = 24, giving a volume of 225/24 feet³. Simplifying this fraction gives you 9.375 feet³ as the volume of the box.
The volume of the box is therefore 9.375 cubic feet.