Final answer:
The density of the cube is found by dividing its mass, 75g, by its volume, calculated from water displacement as 64mL, which results in a density of approximately 1.17g/mL.
Step-by-step explanation:
To calculate the density of a cube submerged in water, we need to determine its volume and mass. The volume of the cube is obtained from the change in water level in a graduated cylinder when the cube is submerged. The increase from 100 mL to 164 mL indicates the volume of the cube is 64 mL (since 164 mL - 100 mL = 64 mL). Given the mass of the cube is 75g, we can calculate the density using the formula density = mass/volume. Consequently, the density of the cube is 75g / 64mL, which is approximately 1.17g/mL.