Question
A synthetic diamond has a density of 3 grams per cubic centimeter and a mass of 6 grams What is its volume? \( \square \) cubic centimeters
Ask by Powers Wang. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume is 2 cubic centimeters.
Solution
Given the density formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
we can solve for the volume \( V \) as:
\[
V = \frac{\text{Mass}}{\text{Density}}
\]
Substitute the given values:
\[
V = \frac{6 \text{ grams}}{3 \text{ grams per cubic centimeter}} = 2 \text{ cubic centimeters}
\]
Thus, the volume is \(2\) cubic centimeters.
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Simplify this solution Beyond the Answer
To find the volume of the synthetic diamond, you can use the formula for density: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Rearranging the formula gives: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \] So plugging in the numbers: \[ \text{Volume} = \frac{6 \text{ grams}}{3 \text{ grams/cm}^3} = 2 \text{ cm}^3 \] Therefore, the volume of the synthetic diamond is \(2\) cubic centimeters. Enjoy your shiny new knowledge!
