Final answer:
The volume of a rectangular prism is the product of its length, width, and height. Given a volume of 16 cubic feet and a height of 1 foot, the possible measurements for the length and width are factor pairs of 16: (1 ft, 16 ft), (2 ft, 8 ft), and (4 ft, 4 ft).
Step-by-step explanation:
The question concerns the volume of a rectangular prism, which is calculated as the product of its length, width, and height. Given that the volume of the prism is 16 cubic feet and the height is 1 foot, we need to find whole numbers for the length and width such that their product equals 16. In other words, we are looking for factor pairs of 16.
To do this, we can list out all the factors of 16 (since it's a small number, this is a reasonable approach):
- 1 × 16 = 16
- 2 × 8 = 16
- 4 × 4 = 16
Therefore, the
possible measures for length and width
are 1 foot and 16 feet, 2 feet and 8 feet, or 4 feet each, assuming that length and width can be interchanged.