the density of copper is 9.86g/cm^3

work out the mass of the solid copper cube in kg

To work out the mass of the solid copper cube in kilograms, we can use the formula:

Mass = Density x Volume

First, let's calculate the volume of the copper cube. The volume of a cube is calculated by multiplying the length of one side by itself twice.

Let's assume the length of one side of the copper cube is x cm. Therefore, the volume of the cube would be:

Volume = x cm * x cm * x cm = x^3 cm^3

Since we know the density of copper is 9.86 g/cm^3, we can substitute this value into the formula:

Mass = Density x Volume = 9.86 g/cm^3 * x^3 cm^3

To convert the mass to kilograms, we need to divide it by 1000, since there are 1000 grams in 1 kilogram.

Therefore, the formula to calculate the mass of the copper cube in kilograms becomes:

Mass (kg) = (9.86 g/cm^3 * x^3 cm^3) / 1000

Now, we need the value of x to calculate the mass. If you have the length of the cube's side, you can substitute it into the formula to find the mass of the copper cube in kilograms.

To work out the mass of the solid copper cube in kg, follow these steps:

Step 1: Find the volume of the copper cube.
Since the density of copper is given as 9.86 g/cm^3, we can assume that the density is constant throughout the cube. The formula for density is mass/volume, so we can rearrange it to find the volume: volume = mass/density.

Step 2: Convert the volume to cubic meters.
Since the density is given in grams per cubic centimeter (g/cm^3), we need to convert the volume to cubic meters (m^3) to be consistent with SI units. 1 cm^3 is equal to 1x10^-6 cubic meters (m^3), so multiply the volume by 1x10^-6.

Step 3: Convert the mass to kilograms.
Finally, convert the mass from grams (g) to kilograms (kg). Since 1 kilogram is equal to 1000 grams, divide the mass by 1000.

Let's apply these steps to the problem:

Given:
Density of copper = 9.86 g/cm^3

Step 1:
Volume = mass / density

Step 2:
Volume in m^3 = Volume in cm^3 * 1x10^-6

Step 3:
Mass in kg = Mass in g / 1000

By following these steps, you will find the mass of the solid copper cube in kilograms.

You did not say how big the cube is.

mass in grams = volume of cube in cm^3 * 9.86
divide by 1000 to get lilograms