A piece of metal has a mass of 85cg and a volume of 450L. What is its density in g/cm3? What would be the mass of 300 cm3 of this metal? What would be the volume of 00 ounces of this metal?
m = 85 kg?
V = 450 L.
V = 450L * 1000cm^3/L = 450,000cm^3
D = 85,000g/450,000cm^3 = 0.189 g/cm^3.
Mass = 300cm^3 * 0.189g/cm^3 = 56.67 g =
0.0567 kg.
Well, well, well, looks like we have ourselves a math problem here! Let's get to it, shall we?
To find the density, you simply divide the mass by the volume. So, 85cg / 450L. But wait, we need to convert the volume from liters to cubic centimeters. There are 1000 cm3 in a liter, so 450L x 1000 cm3/L = 450,000 cm3. Now, divide the mass by the volume: 85cg / 450,000 cm3. This gives us a density of approximately 0.0001889 g/cm3.
Next up, we need to find the mass of 300 cm3 of this metal. We know the density is 0.0001889 g/cm3, so we can multiply that by the volume of 300 cm3: 0.0001889 g/cm3 x 300 cm3 = 0.0567 grams. Voila!
Now, what if we want to find the volume of 00 (I assume you meant 100) ounces of this metal? Well, first we need to convert ounces to grams. There are approximately 28.35 grams in an ounce, so 100 ounces x 28.35 g/oz = 2835 grams. Now, we can find the volume using the density we calculated earlier. Rearranging the formula, volume = mass / density, we have volume = 2835 grams / 0.0001889 g/cm3 = 1,500,263.9 cm3.
Now, let me tell you, that's quite a lot of metal! So much so that it might just weigh you down with its density. But hey, at least now you know all the answers!
To find the density of the metal, we use the formula:
Density = Mass / Volume.
1. Calculate the density:
Given:
Mass = 85 cg,
Volume = 450 L.
First, let's convert the mass from centigrams (cg) to grams (g). There are 100 cg in 1 g, so:
Mass in g = 85 cg / 100 = 0.85 g.
Next, let's convert the volume from liters (L) to cubic centimeters (cm^3). There are 1000 cm^3 in 1 L, so:
Volume in cm^3 = 450 L * 1000 cm^3/L = 450,000 cm^3.
Now we can calculate the density:
Density = Mass / Volume = 0.85 g / 450,000 cm^3.
Density ≈ 0.00000189 g/cm^3 (rounded to the nearest hundredth place).
2. To find the mass of 300 cm^3 of this metal, we use the density we calculated in step 1:
Density = Mass / Volume.
Rearranging the equation, we get:
Mass = Density * Volume.
Given:
Density ≈ 0.00000189 g/cm^3,
Volume = 300 cm^3.
Mass = 0.00000189 g/cm^3 * 300 cm^3 ≈ 0.000567 g.
Therefore, the mass of 300 cm^3 of this metal is approximately 0.000567 g.
3. To find the volume of 500 ounces of this metal, we need to convert ounces to cubic centimeters. The conversion factor is:
1 ounce ≈ 29.57 cm^3.
Given:
Mass = 500 ounces.
Volume = Mass * Conversion factor.
Volume = 500 ounces * 29.57 cm^3/ounce.
Volume ≈ 14,785 cm^3.
Therefore, the volume of 500 ounces of this metal is approximately 14,785 cm^3.
To find the density of the metal in g/cm3, you need to divide its mass by its volume.
1. Density (in g/cm3) = Mass (in g) / Volume (in cm3)
Given that the mass of the metal is 85cg and its volume is 450L, we need to convert these values to the appropriate units.
1cg = 1g (since "c" denotes centi, which means 1/100)
1L = 1000cm3 (since 1L is equivalent to 1000mL, and 1mL is equivalent to 1cm3)
Converting mass:
85cg = 85g
Converting volume:
450L = 450 * 1000cm3 = 450000cm3
Now, we can calculate the density:
Density = 85g / 450000cm3 = 0.0001889 g/cm3 (rounded to 4 decimal places)
Next, to find the mass of 300cm3 of this metal, we will use the calculated density:
2. Mass = Density * Volume
Mass = 0.0001889 g/cm3 * 300 cm3 = 0.0567g (rounded to 4 decimal places)
Lastly, to find the volume of 200 ounces of this metal, we'll first need to convert ounces to grams since the density is given in g/cm3.
1 ounce = 28.3495g
3. Mass (in g) = 200 ounces * 28.3495g/ounce
Mass = 5669.9g (rounded to 4 decimal places)
Now we can find the volume using the density:
Volume = Mass / Density
Volume = 5669.9g / 0.0001889 g/cm3 = 30000327.65 cm3 (rounded to 2 decimal places)
Therefore, the volume of 200 ounces of this metal would be approximately 30000327.65 cm3.