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Choose every statement below that is TRUE.(1 point)

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For objects that sink, the volume is less than the mass.
For objects that sink, the volume is less than the mass.

For objects that sink, the mass is less than the volume.
For objects that sink, the mass is less than the volume.

For objects that float, the volume is less than the mass.
For objects that float, the volume is less than the mass.

For objects that float, the mass is less than the volume.
For objects that float, the mass is less than the volume.

1 answer

To answer the question, we need to understand the relationship between mass, volume, and density.

  1. Density is defined as mass per unit volume (density = mass/volume).
  2. An object will sink if its density is greater than that of the fluid it's in (e.g., water).
  3. An object will float if its density is less than or equal to that of the fluid.

Now, let's analyze each statement:

  1. "For objects that sink, the volume is less than the mass."

    • This statement is not necessarily true since volume can be greater or less than mass depending on the object's density.

  2. "For objects that sink, the mass is less than the volume."

    • This statement is also not true for the same reasons. An object that sinks has a density greater than the fluid, so mass can be greater than volume.

  3. "For objects that float, the volume is less than the mass."

    • This statement is not entirely accurate; an object can float even if its volume is greater than its mass, as long as its density is less than that of the fluid.

  4. "For objects that float, the mass is less than the volume."

    • This statement is true since floating objects have a density less than that of the fluid, implying that their mass is less than their volume, considering their density is mass/volume.

Based on the analysis, the only true statement is:

  • For objects that float, the mass is less than the volume.