GE's light bulb division ordered 100.kg of tungsten for the filaments. If the tungsten comes in a cube what is the volume of the cube? What is the length of each side?
To find the volume of the tungsten cube, we need to know its density. Unfortunately, the density of tungsten was not provided. However, we can still calculate the length of each side of the cube using the given information.
Given that GE's light bulb division ordered 100 kg of tungsten, we can assume that the tungsten cube has a mass of 100 kg. This is because the density of the tungsten is not provided, but since it is ordered by weight, we can use the mass as an approximation.
The density of tungsten is approximately 19.3 grams per cubic centimeter (g/cm³). To convert 100 kg into grams, we multiply by 1000, as there are 1000 grams in 1 kilogram:
100 kg * 1000 g/kg = 100,000 g
Now, let's find the volume of the cube by solving for the length of each side.
Let's assume the length of each side of the cube is equal to "x."
The mass of the cube is equal to its volume multiplied by its density:
Density = Mass / Volume
Volume = Mass / Density
Assuming the density of tungsten is 19.3 g/cm³ (which is an approximation), and the mass is 100,000 g:
Volume = 100,000 g / 19.3 g/cm³
Volume ≈ 5,181.35 cm³
Since we are dealing with a cube, all sides are equal in length. Therefore, if we find the length of one side, we will have the length of each side of the cube.
Volume of a cube = (Side length)³
5,181.35 cm³ = (x)³
Taking the cube root of both sides:
x ≈ 17.94 cm
Hence, the volume of the cube is approximately 5,181.35 cm³, and the length of each side is approximately 17.94 cm.
mass = volume x density or
volume = mass/density
Look up the density and substitute; solve for volume.
If you call the length of the side s, then
V = s^3. Solve for s.