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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

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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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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!

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