Which statement is true about the mass and volume of all objects that sink in water?

• A. Their mass divided by their volume is greater than the density of water.
• B. Their mass divided by their volume is less than the density of water.
• C. Their mass is always less than their volume.
• D. Their mass and volume are always equal.

Answer: (A)

Verified step by step guidance

1. Recall the concept of density, which is defined as mass divided by volume, expressed as \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
2. Understand that whether an object sinks or floats in water depends on its density relative to the density of water (approximately 1 g/cm³ or 1000 kg/m³).
3. If an object sinks, it means the object is denser than water, so its density must be greater than the density of water.
4. Therefore, for objects that sink, the ratio of their mass to their volume (i.e., their density) must be greater than the density of water.
5. This means the correct statement is: 'Their mass divided by their volume is greater than the density of water.'