Convert:
2.7x10^-3 kg/cm^3 to kg/m^3
0.81 g/cm^3 to kg/m^3
I know that 1 m = 100 cm
(___kg/cm^3)(100cm/1m)^3
I cube 100cm/1m, because I wanted cubic centimeter rather than just centimeter.
Notice that my units for cubic centimeters cancel/divide because I multiply the cubic centimeters in the numerator.
You do the same thing for the second problem, but you have the units both in the numerator and denominator to worry about.
You know that 1000g=1kg and 1m=100cm
first convert cm^3 to m^3
(___g/cm^3)(100cm/1m)^3
=__g/m^3
then convert g to kg
(__g/m^3)(1kg/1000g)
=___kg/m^3
To convert 2.7x10^-3 kg/cm^3 to kg/m^3, follow these steps:
Step 1: Convert kg to grams
Since there are 1000 grams in 1 kilogram, multiply 2.7x10^-3 by 1000.
2.7x10^-3 * 1000 = 2.7 grams/cm^3
Step 2: Convert cm^3 to m^3
Since there are 1,000,000 cm^3 in 1 m^3, divide 2.7 by 1,000,000.
2.7 / 1,000,000 = 2.7x10^-6 grams/m^3
Therefore, 2.7x10^-3 kg/cm^3 is equivalent to 2.7x10^-6 kg/m^3.
To convert 0.81 g/cm^3 to kg/m^3, follow these steps:
Step 1: Convert grams to kilograms
Since there are 1000 grams in 1 kilogram, divide 0.81 by 1000.
0.81 / 1000 = 0.00081 kg/cm^3
Step 2: Convert cm^3 to m^3
Since there are 1,000,000 cm^3 in 1 m^3, divide 0.00081 by 1,000,000.
0.00081 / 1,000,000 = 8.1x10^-10 kg/m^3
Therefore, 0.81 g/cm^3 is equivalent to 8.1x10^-10 kg/m^3.
To convert from kg/cm^3 to kg/m^3, we need to multiply the given value by 10,000 since there are 10,000 cm^3 in 1 m^3.
1. For 2.7x10^-3 kg/cm^3:
Multiply 2.7x10^-3 by 10,000 to convert cm^3 to m^3:
2.7x10^-3 * 10,000 = 27 kg/m^3
Therefore, 2.7x10^-3 kg/cm^3 is equal to 27 kg/m^3.
2. For 0.81 g/cm^3:
First, we need to convert grams to kilograms. Since there are 1000 grams in 1 kilogram, we divide 0.81 by 1000:
0.81 / 1000 = 0.00081 kg/cm^3
Next, we multiply 0.00081 by 10,000 to convert cm^3 to m^3:
0.00081 * 10,000 = 8.1 kg/m^3
Therefore, 0.81 g/cm^3 is equal to 8.1 kg/m^3.