Suppose you have two 100- graduated cylinders. In each cylinder there is 37.0 of water. You also have two cubes: One is lead, and the other is aluminum. Each cube measures 1.2 on each side.After you carefully lower each cube into the water of its own cylinder, what will the new water level be in each of the cylinders? Assume that cubes are totally emerged in the water.

The numbers need units.

To find the new water level in each cylinder after placing the cubes, we need to consider the volume of the cubes and the displacement principle.

1. Calculate the volume of each cube:
- Both cubes have sides measuring 1.2 units, so the volume of each cube is (1.2)^3 = 1.728 cubic units.

2. Determine the volume of water displaced by each cube:
- The volume of water displaced by an object submerged in a liquid is equal to the volume of the object.
- Therefore, the volume of water displaced by each cube is 1.728 cubic units.

3. Calculate the new water level in each cylinder:
- Initially, each cylinder contains 37.0 cubic units of water.
- When the cube is submerged, it displaces 1.728 cubic units of water.
- Thus, the new water level in each cylinder will be 37.0 + 1.728 = 38.728 cubic units.

Therefore, the new water level in each cylinder, after carefully lowering the cubes, will be 38.728 cubic units.