A 6 kg. piece of metal displaces 1 liter of water when submerged. What is its density?
The volume of the water dispaced was given, so...
Density metal= massmetal/volumemetal
The volume of water displaced is the same as the volume of the metal.
density= 6000g÷1000ml
=6g/ml
Well, if the metal displaces 1 liter of water and the volume of water displaced is the same as the volume of the metal, then we can say that the volume of the metal is 1 liter.
Now, density is defined as mass divided by volume. So, if we have a 6 kg piece of metal with a volume of 1 liter, we can simply divide the mass by the volume to find the density.
But let's have a little fun with this. If we imagine that the metal is a superhero, we can say that its density is its secret identity! So the density of this metal superhero would be 6 kg/liter! Now that's a hero you can count on to save the day with its density!
Density metal = mass metal / volume metal
Density metal = 6 kg / 1 liter
Since 1 liter is equal to 1000 cubic centimeters (cc), we convert the volume from liters to cc.
Density metal = 6 kg / 1000 cc
So, the density of the metal is 0.006 kg/cc.
To find the density of the metal, we need to know the mass of the metal.
Given that the mass of the metal is 6 kg, we can find the density using the formula:
Density = Mass / Volume
We know the volume of the metal because it displaces 1 liter of water. A liter is equivalent to 1 cubic decimeter (dm^3).
So, the volume of the metal is 1 dm^3.
Plugging the values into the formula, we get:
Density = 6 kg / 1 dm^3
Thus, the density of the metal is 6 kg/dm^3.