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With a mass of 112.67 grams, the Star of India is one of the largest star sapphires in the world. The density of a star sapphire is approximately 4.0 grams per cubic centimeter. Which of the following best approximates the volume, in cubic centimeters, of the Star of India? (Density is mass per unit volume.) Choose 1 answer: (A) 26 (B) 28 (c) 30 (D) 32

With a mass of 112112.6767 grams, the Star of India is one of the largest star sapphires in the world. The density of a star sapphire is approximately 44.00 grams per cubic centimeter. Which of the following best approximates the volume, in cubic centimeters, of the Star of India?\newline(Density is mass per unit volume.)\newlineChoose 11 answer:\newline(A) 2626\newline(B) 2828\newline(C) 3030\newline(D) 3232

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Q. With a mass of 112112.6767 grams, the Star of India is one of the largest star sapphires in the world. The density of a star sapphire is approximately 44.00 grams per cubic centimeter. Which of the following best approximates the volume, in cubic centimeters, of the Star of India?\newline(Density is mass per unit volume.)\newlineChoose 11 answer:\newline(A) 2626\newline(B) 2828\newline(C) 3030\newline(D) 3232
  1. Identify given mass and density: Identify the given mass and density of the Star of India sapphire.\newlineMass = 112.67112.67 grams\newlineDensity = 4.04.0 grams per cubic centimeter\newlineUse the formula for density, which is Density=MassVolume\text{Density} = \frac{\text{Mass}}{\text{Volume}}.
  2. Use density formula: Rearrange the formula to solve for volume.\newlineVolume = MassDensity\frac{\text{Mass}}{\text{Density}}
  3. Rearrange formula for volume: Substitute the given values into the formula to calculate the volume.\newlineVolume = 112.67 grams4.0 grams per cubic centimeter\frac{112.67 \, \text{grams}}{4.0 \, \text{grams per cubic centimeter}}
  4. Substitute values and calculate: Perform the division to find the volume.\newlineVolume = 112.67/4112.67 / 4\newlineVolume = 28.167528.1675 cubic centimeters
  5. Round volume to nearest whole: Round the volume to the nearest whole number to match the answer choices.\newlineVolume ≈28\approx 28 cubic centimeters

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