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melisa141b

01.09.2021

Physics

$\frac{13.6 g}{cm^3} * \frac{1 Kg}{1000g} * \frac{10^6 cm^3}{m^3} = \frac{13600 Kg}{m^3}$

Explanation:

The process of conversion of 13.6 g/cm3 to kg/m3

1 Kg of weight is equal to 1000 grams of weight

Thus, it can be written as

$1 Kg = 1000g\\1 g = \frac{1 Kg}{1000}$

So the first blank (numerator) will be filled with 1 Kg

Now, 1 meter is equal to 100 centimeter

Thus,

$1 m^3 = (100)^3 cm^3\\1 cm^3 = \frac{1 m^3}{10^6}$

So, the second blank (numerator) will be filled with $10^6\\$

And the third blank (denominator) will be filled with 1 m^3

And the last blank will be 13600

The complete equation will be as follows

$\frac{13.6 g}{cm^3} * \frac{1 Kg}{1000g} * \frac{10^6 cm^3}{m^3} = \frac{13600 Kg}{m^3}$

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