Final answer:
After calculating the density of each block by dividing their respective masses by their volumes, we find that Block B has the greatest density. Density is mass per unit volume and Block B's value is that highest among the given blocks.
Step-by-step explanation:
To determine which block has the greatest density, we first need to calculate the density of each block. Density is defined as the mass of an object divided by its volume. The formula for density (ρ) is ρ = mass / volume. Using this formula:
- Block A: Volume = 11 cm x 7 cm x 13 cm = 1001 cm³; Density = 3 kg / 1001 cm³ = 0.003 kg/cm³ or 3 g/cm³.
- Block B: Volume = 7 cm x 7 cm x 7 cm = 343 cm³; Density = 4 kg / 343 cm³ = 0.0117 kg/cm³ or 11.7 g/cm³.
- Block C: Volume = 3 cm x 1 cm x 7 cm = 21 cm³; Density = 2 kg / 21 cm³ = 0.0952 kg/cm³ or 95.2 g/cm³.
Comparing these values, we can see that Block B has the greatest density among the three blocks.