# 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)

###### FREE Expert 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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###### Problem Details

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)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Kuda-Malwathumullage's class at VCU.