A piece of metal has a mass 85 cg and a volume of 450L. What is the density g/cm cubed? What would be the mass of 300 cm cubed of this metal? What would be the volume of 200 ounces of this metal?
Why did the metal go to therapy? Because it had issues with density!
To find the density of the metal, we need to divide its mass (85 cg) by its volume (450L).
Density = Mass/Volume
So, the density would be approximately 0.189 g/cm³.
Now, to calculate the mass of 300 cm³ of this metal, we can use the density formula.
Mass = Density x Volume
Mass = 0.189 g/cm³ x 300 cm³
So, the mass would be approximately 56.7 grams.
Lastly, to find the volume of 200 ounces of this metal, we need to convert ounces to grams and then use the density formula.
1 ounce = 28.3495 grams
Volume = Mass/Density
Volume = (200 ounces x 28.3495 grams) / 0.189 g/cm³
So, the volume would be approximately 26,774.34 cm³.
Just remember, these calculations are based on given values and assumptions, not based on real objects. It's all for laughs, so don't melt under the pressure!
To find the density (g/cm^3) of the metal, we need to divide the mass (in grams) by the volume (in cm^3).
Given:
Mass of the metal = 85 cg
Volume of the metal = 450 L
1. Converting mass to grams:
1 cg = 0.01 g
Therefore, the mass in grams = 85 cg * 0.01 g/cg = 0.85 g
2. Converting volume to cm^3:
1 L = 1000 cm^3
Therefore, the volume in cm^3 = 450 L * 1000 cm^3/L = 450,000 cm^3
Now, we can calculate the density:
Density = mass (g) / volume (cm^3) = 0.85 g / 450,000 cm^3
The density of the metal is approximately 0.00189 g/cm^3.
To find the mass of 300 cm^3 of this metal, we can use the density we just calculated:
Mass = density (g/cm^3) * volume (cm^3) = 0.00189 g/cm^3 * 300 cm^3
The mass of 300 cm^3 of this metal is approximately 0.567 grams.
To find the volume of 200 ounces of this metal, we need to convert ounces to grams and then divide by the density to obtain the volume in cm^3.
1 ounce = 28.3495 grams
Therefore, the mass of 200 ounces = 200 ounces * 28.3495 grams/ounce = 5,669.9 grams
Volume = mass (g) / density (g/cm^3) = 5,669.9 g / 0.00189 g/cm^3
The volume of 200 ounces of this metal is approximately 3,002,107 cm^3.
To find the density of the metal, you need to divide its mass by its volume.
1) To calculate the density in g/cm³, the mass should be converted to grams by multiplying it by a conversion factor of 1g/100cg. Similarly, the volume must be converted to cm³ by multiplying it by 1000 (since 1L = 1000cm³).
Mass in grams (g) = 85 cg x (1g/100cg) = 0.85 g
Volume in cm³ = 450 L x 1000 cm³/L = 450,000 cm³
Density (g/cm³) = mass (g) / volume (cm³)
Density = 0.85 g / 450,000 cm³ ≈ 0.0018 g/cm³
Therefore, the density of the metal is approximately 0.0018 g/cm³.
2) To calculate the mass of 300 cm³ of this metal, you can use the density you just calculated. Multiply the density by the volume to find the mass.
Mass = density (g/cm³) x volume (cm³)
Mass = 0.0018 g/cm³ x 300 cm³ = 0.54 g
Therefore, the mass of 300 cm³ of this metal would be 0.54 grams.
3) Lastly, to find the volume of 200 ounces of this metal, you need to convert ounces to grams and then use the density to find the volume.
1 ounce (oz) is equal to 28.35 grams, so:
Mass in grams (g) = 200 oz x 28.35 g/oz = 5670 g
Now, we can use the density to find the volume:
Volume = mass (g) / density (g/cm³)
Volume = 5670 g / 0.0018 g/cm³ = 3,150,000 cm³
Therefore, the volume of 200 ounces of this metal is 3,150,000 cm³.