Which of these objects has the greatest density?(1 point)

Responses

an object with a mass of 8 g and a volume of 2 cm3
an object with a mass of 8 g and a volume of 2 cm cubed

an object with a mass of 10 g and a volume of 4 cm3
an object with a mass of 10 g and a volume of 4 cm cubed

an object with a mass of 6 g and a volume of 4 cm3
an object with a mass of 6 g and a volume of 4 cm cubed

an object with a mass of 4 g and a volume of 2 cm3

1 answer

To find out which object has the greatest density, we need to calculate the density for each object using the formula:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Let's calculate the density for each object:

  1. Object with a mass of 8 g and a volume of 2 cm³: \[ \text{Density} = \frac{8 , \text{g}}{2 , \text{cm}^3} = 4 , \text{g/cm}^3 \]

  2. Object with a mass of 10 g and a volume of 4 cm³: \[ \text{Density} = \frac{10 , \text{g}}{4 , \text{cm}^3} = 2.5 , \text{g/cm}^3 \]

  3. Object with a mass of 6 g and a volume of 4 cm³: \[ \text{Density} = \frac{6 , \text{g}}{4 , \text{cm}^3} = 1.5 , \text{g/cm}^3 \]

  4. Object with a mass of 4 g and a volume of 2 cm³: \[ \text{Density} = \frac{4 , \text{g}}{2 , \text{cm}^3} = 2 , \text{g/cm}^3 \]

Now, let's summarize the densities calculated:

  • Object 1: 4 g/cm³
  • Object 2: 2.5 g/cm³
  • Object 3: 1.5 g/cm³
  • Object 4: 2 g/cm³

The object with the greatest density is the one with a mass of 8 g and a volume of 2 cm³, which has a density of 4 g/cm³.