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.
Large Tank: length- 30in, width- 12in, height- 16in
Small Tank: length- 12in, width- 6in, height- 9in
First, we need to find the volume of each tank to determine how much water they can hold. The volume of a rectangular prism can be found by multiplying its length, width, and height. So, let's calculate the volume of each tank:
Large tank volume = length x width x height = 30in x 12in x 16in = 5760 cubic inches.
Small tank volume = length x width x height = 12in x 6in x 9in = 648 cubic inches.
Now, Joe takes water from the larger tank to completely fill the small tank. This means that the volume of water in the small tank is equal to the volume of the small tank itself, which is 648 cubic inches.
To determine how much water will remain in the larger tank, we subtract the volume of water in the small tank from the volume of the larger tank:
Remaining water in the larger tank = Volume of the larger tank - Volume of water in the small tank
= 5760 cubic inches - 648 cubic inches
= 5112 cubic inches.
Therefore, there will be 5112 cubic inches of water remaining in the larger tank.