Final answer:
After calculating the total volume of the warehouse with correct dimensions (140 ft × 100 ft × 14 ft) and subtracting the volume of the partitioned office space (1,200 sq ft × 14 ft), the remaining cubic feet of space in the warehouse is 179,200 cubic feet.
Step-by-step explanation:
To determine how many cubic feet of space will be left in the warehouse after partitioning off 1,200 square feet for an office, we first calculate the total volume of the warehouse. However, there is a discrepancy in the question's details which provides dimensions of both 80 feet by 120 feet and later 100 feet by 140 feet. For a consistent answer, we'll need the correct dimensions. Assuming the latter provided information is correct and the actual dimensions of the warehouse are 140 feet by 100 feet:
The total volume of the warehouse is 140 feet (length) × 100 feet (width) × 14 feet (height).
Total volume = 140 × 100 × 14 = 196,000 cubic feet.
The volume of the partitioned office space is 1,200 square feet (floor area) × 14 feet (height).
Office volume = 1,200 × 14 = 16,800 cubic feet.
Remaining space = Total volume - Office volume.
Remaining space = 196,000 - 16,800 = 179,200 cubic feet.
Note: This calculation assumes that the office is partitioned with a single floor-to-ceiling wall spanning the entire 1,200 square feet footprint. If the office has more internal division or walls, the deducted volume might be different.