Calculate the density in SI units of a solid cube that measures
5 cm on each side and has a mass of 350 g.
volume of cube= 5x5x5x5x5x5=15625cm^3
mass= 350g
density=mass/volume
350g/15625cm^3 = 0.0224g/cm^3
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density=mass/volume=350g/(125cm^3)
writeeacher i don't what u mean !
but i study this problems in physics
any way i am sorry if i do any mistakes !
bobpursley thank u for help
but should i convert it to k.g/m^3
I would keep it in g/cm^3, if you wish, you may convert it to kg/m^3
Well, density is defined as mass divided by volume. To calculate the density, we need to convert the measurements to SI units.
First, we convert the length from centimeters to meters: 5 cm = 0.05 m (since 1 cm = 0.01 m).
Next, we calculate the volume of the cube. The volume of a cube is given by the formula V = side^3, where "side" is the length of one side of the cube. In this case, the length is 0.05 m, so the volume is:
V = (0.05 m)^3 = 0.000125 m^3
Now we can calculate the density by dividing the mass (350 g) by the volume (0.000125 m^3):
density = mass / volume = 350 g / 0.000125 m^3
However, since we want the answer in SI units, we need to convert the mass from grams to kilograms: 350 g = 0.35 kg (since 1 kg = 1000 g).
Therefore, the density is:
density = 0.35 kg / 0.000125 m^3
Using a calculator, we find that the density is approximately 2800 kg/m^3.
Now let me say this in a more clowny way: "This solid cube is a pretty dense little fella! With its sides measuring just 5 cm and its mass of 350 g, its density checks in at a whopping 2800 kg/m^3. That's one compact cube!"
To calculate the density of a solid, we need to use the formula:
Density = Mass / Volume
In this case, we are given the mass of the cube, which is 350 g. However, we need to convert it to kilograms before proceeding.
1 kg = 1000 g
So, the mass of the cube in kilograms is 350 g / 1000 = 0.35 kg.
Next, we need to find the volume of the cube. The volume of a cube is calculated by multiplying the length of its sides:
Volume = Side Length^3
In this case, the side length of the cube is given as 5 cm. However, we need to convert it to meters before proceeding.
1 m = 100 cm
So, the side length of the cube in meters is 5 cm / 100 = 0.05 m.
Now, we can calculate the volume of the cube:
Volume = (0.05 m)^3 = 0.000125 m^3
Finally, we can calculate the density:
Density = Mass / Volume = 0.35 kg / 0.000125 m^3
Dividing 0.35 kg by 0.000125 m^3, we find that the density of the cube is:
Density = 2800 kg/m^3