Answer:
The volume of the larger cube is 5.08 g/cm³.
Explanation:
Given that,
Mass of smaller cube = 20 g
Density of smaller cube [tex]\rho= 7.87 g/cm^2[/tex]
Dylan has two cubes of iron.
The larger cube has twice the mass of the smaller cube.
[tex]M_{l}=2m_{s}[/tex]
Density is same for both cubes because both cubes are same material.
The density is equal to the mass divided by the volume.
[tex]\rho=\dfrac{m}{V}[/tex]
[tex]V=\dfrac{m}{\rho}[/tex]
Where, V = volume
m = mass
[tex]\rho=density[/tex]
We need to calculate the volume of smaller mass
The volume of smaller mass
[tex]V_{s}=\dfrac{m_{s}}{\rho_{s}}[/tex]
[tex]V_{s}=\dfrac{20}{7.87}[/tex]
[tex]V_{s}=2.54\ cm^3[/tex]
Now, We need to calculate the volume of large cube
[tex]V_{l}=\dfrac{m_{l}}{\rho_{l}}[/tex]
[tex]V_{l}=\dfrac{2\times20}{7.87}[/tex]
[tex]V_{l}=5.08\ g/cm^3[/tex]
Hence, The volume of the larger cube is 5.08 g/cm³.