Joe's larger tank is completely filled with water. He takes water from it to completely fill the small tank. Determine how many cubic inches of water will remain in the larger tank

12 * 30 * 16 = 5,760 cubic inches

6 * 12 * 9 = 648 cubic inches

5,760 - 648 = _______ cubic inches

5112inches cubed

To determine how many cubic inches of water will remain in the larger tank after filling the smaller tank, we need to calculate the volume of both tanks.

The volume of the larger tank can be found by multiplying its length, width, and height:
Volume of larger tank = 12 inches x 30 inches x 16 inches = 5,760 cubic inches

Similarly, the volume of the smaller tank can be found by multiplying its length, width, and height:
Volume of smaller tank = 6 inches x 12 inches x 9 inches = 648 cubic inches

Since Joe takes water from the larger tank to completely fill the smaller tank, the remaining water in the larger tank can be found by subtracting the volume of the smaller tank from the volume of the larger tank:
Remaining water in larger tank = Volume of larger tank - Volume of smaller 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.

To determine the amount of water that will remain in the larger tank after filling the smaller tank, we first need to calculate the volume of each tank.

The volume of a rectangular prism (tank) can be calculated by multiplying its length, width, and height.

The volume of the larger tank is given as 12 x 30 x 16. We can multiply these dimensions to find the volume:

Volume of larger tank = 12 * 30 * 16

Next, we can calculate the volume of the smaller tank using its dimensions of 6 x 12 x 9:

Volume of smaller tank = 6 * 12 * 9

Now that we have both volumes, we can subtract the volume of the smaller tank from the volume of the larger tank to find the remaining volume of water.

Remaining volume of water = Volume of larger tank - Volume of smaller tank

Let's plug in the values and calculate:

Volume of larger tank = 12 * 30 * 16 = 5760 cubic inches
Volume of smaller tank = 6 * 12 * 9 = 648 cubic inches

Remaining volume of water = 5760 - 648 = 5112 cubic inches

Therefore, there will be 5112 cubic inches of water remaining in the larger tank.