Question

What is the volume of the hope diamond ,the worlds largest blue diamond at 44.4 carats . 1 carat =200mg

Answer 1

I beleive the volume would be 8.88 g

Answer 2

Answer: The volume of hope diamond is
`2.53cm^3`

Step-by-step explanation:

We are given:

Mass of hope diamond = 44.4 carat

To convert this into milligrams, we use the conversion factor:

1 carat = 200 mg

So,
`44.4carat* ((200mg)/(1carat))=8880mg`

To calculate mass of a substance, we use the equation:

`\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}`

We are given:

Density of hope diamond =
`3.51g/cm^3`

Mass of hope diamond = 8880 mg = 8.88 g (Conversion factor: 1 g = 1000 mg)

Putting values in above equation, we get:

`3.51g/cm^3=\frac{8.88g}{\text{Volume of hope diamond}}\\\\\text{Volume of hope diamond}=2.53cm^3`

Hence, the volume of hope diamond is
`2.53cm^3`