Final answer:
The volume of the large box could potentially be 16 cubic inches, 8 cubic inches, or 32 cubic inches, as these values are multiples of the volume of the small jewelry boxes, which is 4 cubic inches.
Step-by-step explanation:
The student's question pertains to finding the volume of a large box that is packed with smaller jewelry boxes, each having a volume of 4 cubic inches. Based on the choices provided:
- Choice (a) 4 cubic inches is the volume of one small jewelry box, not the large box.
- Choice (b) 16 cubic inches could be the volume of the large box if it contains exactly 4 small jewelry boxes.
- Choice (c) 8 cubic inches could be the volume of the large box if it contains exactly 2 small jewelry boxes.
- Choice (d) 20 cubic inches does not represent a number of whole small jewelry boxes, as 20 is not divisible by 4.
- Choice (e) 32 cubic inches could be the volume of the large box if it contains exactly 8 small jewelry boxes.
So, the choices that could potentially describe the volume of the large box are 16 cubic inches, 8 cubic inches, and 32 cubic inches.