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Tabitha has some gold with a total mass of 9.65 g
She is going to melt the gold and use all the gold to make a cube.
The density of gold is 19.3 g/cm³
Tabitha thinks the side length of the cube will be greater than 8 mm.
Is Tabitha correct?
You must show how you get your answer.

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Answer:

Conclusion:

The side length of the cube is approximately 7.94 mm, which is less than 8 mm. Tabitha was incorrect in her assumption.

Explanation:

1. Calculate the volume of the gold:

  • Density = Mass / Volume
  • Volume = Mass / Density
  • Volume = 9.65 g / 19.3 g/cm³ = 0.5 cm³

2. Calculate the side length of the cube:

  • Volume of a cube = side³
  • Side = ³√Volume
  • Side = ³√0.5 cm³ ≈ 0.794 cm

3. Convert the side length to millimeters:

  • 1 cm = 10 mm
  • 0.794 cm = 0.794 cm * 10 mm/cm = 7.94 mm

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