The dimensions of the rectangular prism could be 8 feet by 4 feet by 3 feet or 3 feet by 5 feet by 7 feet.
Explanation:
The formula for the surface area of the rectangular prism is given by,
⇒ 2lw + 2wh + 2hl
where l is length, w is width and h is the height.
Now, check for each given options whether the surface area is less than 160 or not.
8 feet by 4 feet by 3 feet
⇒ 2(8×4) + 2(4×3) + 2(3×8)
⇒ 64 + 24 + 48
⇒ 136 (less than 160)
7 feet by 6 feet by 4 feet
⇒ 2(7×6) + 2(6×4) + 2(4×7)
⇒ 84 + 48 + 56
⇒ 188 (Not less than 160)
3 feet by 7 feet by 8 feet
⇒ 2(3×7) + 2(7×8) + 2(8×3)
⇒ 42 + 112 + 48
⇒ 202 (Not less than 160)
3 feet by 6 feet by 7 feet
⇒ 2(3×6) + 2(6×7) + 2(7×3)
⇒ 36 + 84 + 42
⇒ 162 (Not less than 160)
3 feet by 5 feet by 7 feet
⇒ 2(3×5) + 2(5×7) + 2(7×3)
⇒ 30 + 70 + 42
⇒ 142 (less than 160)