To find out how many cubic inches of water will remain in the larger tank, we will need to find the difference in volume between the larger tank and the small tank.
First, let's calculate the volume of the larger tank using the formula: volume = length × width × height.
Volume of the larger tank = 30in × 12in × 16in = 5,760 cubic inches.
Next, let's calculate the volume of the small tank using the same formula.
Volume of the small tank = 12in × 6in × 9in = 648 cubic inches.
Now, we can find the remaining volume in the larger tank by subtracting the volume of the small tank from the volume of the larger tank.
Remaining volume in the larger tank = Volume of the larger tank - Volume of the small tank = 5,760 cubic inches - 648 cubic inches = 5,112 cubic inches.
Therefore, there will be 5,112 cubic inches of water remaining in the larger tank.