The mass of a solid cube is 700 g, and each edge has a length of 6.42 cm. Find the density of the cube. Answer in units of kg.
d=m/v
d=700/(6.42^3)
700/264.60928
Density = m/V = 0.70kg/(0.0642m)^3 =
2645 kg/m^3.
To find the density of the cube, you need to know its mass and volume. The formula for density is given by:
density (d) = mass (m) / volume (v)
In this case, the mass of the cube is given as 700 g.
To find the volume of the cube, you need to know the length of one of its edges. It is stated that each edge has a length of 6.42 cm.
The volume of a cube is given by the formula:
volume = edge^3
In this case, the volume of the cube is:
volume = (6.42 cm)^3
After calculating the volume, you can substitute the values for mass and volume into the density formula:
density = 700 g / volume
Now you can calculate the volume of the cube:
volume = (6.42 cm)^3
volume ≈ 264.60928 cm^3
Finally, substitute the values into the density formula:
density ≈ 700 g / 264.60928 cm^3
To convert the density to kilograms, you need to divide the density by 1000 (since 1 kg = 1000 g):
density ≈ (700 g / 264.60928 cm^3) / 1000
density ≈ 2.645 kg/cm^3
Therefore, the density of the cube is approximately 2.645 kg/cm^3.