Question

12
drag each label to the correct location in h - equation. not all tiles will be used
the density of mercury is 13.6 grams per cubic centimeter. complete the steps for converting 13.6 grams? to kg/m?
1 kg = 1000 g 1 m? = 10° cm?
13.60 10° 1,000 1 g 1 kg 1 m?
13.6 g
cm?
×
1000 g
×
cm?
=
kg
m?

Explanation:

Step1: Convert grams to kilograms

We know that \(1\space kg = 1000\space g\). So, \(\frac{1\space kg}{1000\space g}\) is the conversion factor for grams to kilograms.

Step2: Convert \(cm^{3}\) to \(m^{3}\)

Since \(1\space m = 100\space cm\), then \(1\space m^{3}=(100\space cm)^{3}=10^{6}\space cm^{3}\). So, \(\frac{10^{6}\space cm^{3}}{1\space m^{3}}\) is the conversion factor for \(cm^{3}\) to \(m^{3}\).

Step3: Calculate the final value

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Answer:

\(\frac{13.6\space g}{cm^{3}}\times\frac{1\space kg}{1000\space g}\times\frac{10^{6}\space cm^{3}}{1\space m^{3}}=\frac{13600\space kg}{m^{3}}\)