Final answer:
The volume of the right rectangular prism is given by the product of its base area and height, which in this case simplifies to 18 cubic feet.
Step-by-step explanation:
The volume of a moving box, which is a right rectangular prism, can be calculated using the formula Volume = base area × height. In this case, the base area is given as 5 5/8 ft², and the height is 3 1/5 ft. The base area must first be converted to an improper fraction, which is (5 × 8 + 5)/8 = 45/8 ft². Then, convert 3 1/5 ft to an improper fraction, which is (3 × 5 + 1)/5 = 16/5 ft. Next, multiply the base area by the height to find the volume: (45/8) ft² × (16/5) ft = (45 × 16)/(8 × 5) ft³ = 720/40 ft³ = 18 ft³, which simplifies to option (a) 18 cubic feet.