Final answer:
To calculate the amount of packing material needed to fill a box, one must find the volume of the box by multiplying the base area by the height. The base area is 9/10 sq ft and the height is 1/3 ft, resulting in a volume of 3/10 cubic feet.
Step-by-step explanation:
The question asks how much packing material is required to fill an empty box that is shaped like a rectangular prism. This is a mathematical problem involving calculation of the volume of the box. The volume is found by multiplying the base area by the height.
To find the volume of the box, we use the formula Volume = Base Area × Height. Here, the base area is given as 9/10 square feet, and the height is given as 1/3 foot.
Volume = (9/10) sq ft × (1/3) ft = (9/10)×(1/3) cubic feet = 3/10 cubic feet
Therefore, the amount of packing material required to fill the box is 3/10 cubic feet.