Ah, metal, the Arnold Schwarzenegger of materials! Let's do some math and flex those brain muscles.
To find the density of the metal, we can use the formula: density = mass / volume.
Given that the mass is 85cg and volume is 450L, we need to convert them to matching units. One centigram (cg) is equal to 0.01 grams (g), and one liter (L) is equal to 1000 cubic centimeters (cm^3). Now, let's crunch those numbers!
First, let's convert the mass: 85cg = 85 * 0.01g = 0.85g.
Now, let's convert the volume: 450L = 450 * 1000cm^3 = 450,000cm^3.
Next, calculate the density: density = mass / volume = 0.85g / 450,000cm^3.
That gives us the density in g/cm^3.
For the mass of 300cm^3 of this metal, we can use the density we just calculated and the formula: mass = density * volume.
Substituting the values, we get: mass = (0.85g/cm^3) * 300cm^3.
Lastly, let's tackle the volume of 200 ounces of this metal. But hold on, ounces are not commonly used for measuring volume. Ounces are typically used for weight!
So, to find the volume, we would need the density of the metal in ounces per cubic inch (oz/in^3). Once we have that, we can use the formula: volume = mass / density.
But since we don't have the density in ounces, let's stick to the previous calculations and leave it at that.
Remember, laughter can be the best formula for learning!