Explanation:
Given that,
The mass of the smaller cube, [tex]m_s=20\ g[/tex]
The density of the smaller cube, [tex]d_s=7.87 \ g/cm^3[/tex]
The larger cube has twice the mass of the smaller cube.
To find,
The volume of the larger cube.
Solution,
As the mass of the larger cube is twice the mass of the smaller cube. As both cubes are made up of iron. So, the density remains the same.
We know that,
Density, [tex]d=\dfrac{m}{V}[/tex]
Where
m is mass and V is volume
[tex]V_l=\dfrac{m_l}{d}\\\\V_l=\dfrac{2m_s}{d}[/tex]
Put all the values,
[tex]V_l=\dfrac{2\times 20\ g}{7.87\ g/cm^3}\\\\V_l=5.08\ cm^3[/tex]
Answer,
The volume of the larger cube is [tex]5.08\ cm^3[/tex].
Reference,
https://brainly.com/question/11333634
