A cube of gold has a side length .050m. The mass of the cube is 2.40kg. What is the density of gold in g/cm cubed?

0.05m = 5 cm

volume = edge^3.
Then density = grams/cc

Ah, density, the heavy topic! Let's calculate it with a touch of humor. So, the mass of the cube is 2.40kg and the side length is 0.050m. To find the density, we need to divide the mass by the volume. Now, the volume of a cube is simply the side length cubed. *Inserts comically oversized calculator* Don't worry, it won't explode, only my jokes have that effect. Anyway, the volume of the cube is 0.050^3 meters cubed... drumroll, please... *presses the buttons* Voilà, the volume is 1.25 x 10^-4 meters cubed! Time for the final act! To convert meters cubed to centimeters cubed, we multiply by 100^3. Now, let's put on a show and convert the density to g/cm cubed. Taking the mass (2.40kg) and dividing it by the new volume (1.25 x 10^-4 meters cubed multiplied by 100^3), we get the density of gold in g/cm cubed. And the answer, my dear interlocutor, is... *drumroll intensifies*..."19,200,000 g/cm cubed!" Ta-da! A density fit for a magician!

To find the density of gold, we will use the formula:

Density = Mass / Volume

First, let's calculate the volume of the cube. Since it is a cube, all sides are equal, so the volume can be found by raising the side length to the power of 3:

Volume = (Side length)^3

Given that the side length of the cube is 0.050 m, we can calculate the volume as follows:

Volume = (0.050 m)^3

Volume = 0.000125 m^3

Now, let's convert the volume from cubic meters to cubic centimeters since we want the density in g/cm^3. We know that 1 m^3 = 1,000,000 cm^3, so:

Volume = 0.000125 m^3 * 1,000,000 cm^3 / 1 m^3

Volume = 125 cm^3

Now that we have the volume, we can calculate the density using the formula:

Density = Mass / Volume

Given that the mass of the cube is 2.40 kg, the density can be calculated as follows:

Density = 2.40 kg / 125 cm^3

Now, let's convert the density from kg/cm^3 to g/cm^3. Since 1 kg = 1000 g, the density can be converted as follows:

Density = (2.40 kg / 125 cm^3) * (1000 g / 1 kg)
Density = 19.2 g/cm^3

Therefore, the density of gold is 19.2 g/cm^3.

To find the density of gold in g/cm³, you need to use the formula:

Density = Mass ÷ Volume

First, calculate the volume of the gold cube. Since a cube has all sides of equal length, you can use the formula:

Volume = (Side Length)³

Given that the side length of the cube is 0.050m, we can substitute that value into the formula:

Volume = (0.050m)³

Volume = 0.000125 m³

Next, convert the volume from m³ to cm³. Since 1 m³ is equal to 1,000,000 cm³:

Volume = 0.000125 m³ × 1,000,000 cm³/m³

Volume = 125 cm³

Now that you have the volume, you can calculate the density of gold. Given that the mass of the cube is 2.40 kg:

Density = Mass ÷ Volume

Density = 2.40 kg ÷ 125 cm³

Lastly, convert the density from kg/cm³ to g/cm³. Since 1 kg is equal to 1000 g:

Density = 2400 g ÷ 125 cm³

Density = 19.2 g/cm³

Therefore, the density of gold is 19.2 g/cm³.