Solution: A pure diamond has a density of 3.52 g/cm3. Set up a dimensional-analysis equation to find the volume (cm3) of the Hope Diamond that weighs 44.4 carats. (1 carat = 200 mg)

Solution: A pure diamond has a density of 3.52 g/cm3. Set up a dimensional-analysis equation to find the volume (cm3) of the Hope Diamond that weighs 44.4 carats. (1 carat = 200 mg)

Problem

A pure diamond has a density of 3.52 g/cm³. Set up a dimensional-analysis equation to find the volume (cm³) of the Hope Diamond that weighs 44.4 carats. (1 carat = 200 mg)

Solution

Start setting up with the 44.4 carats using the provided conversion unit to mg. Rest is metric conversion for mg to g.

Dimensional analysis for this will appear as:

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