Compare Mass, Volume and Density

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Mass and volume are different measurements. For these uniform samples, density = mass / volume. Keep grams and cubic centimeters consistent; a larger mass alone does not prove a greater density.

Worked example

A uniform sample with mass 24 g and volume 8 cubic cm has density 24 / 8 = 3 grams per cubic cm. A sample twice as large of the same material can have twice the mass but the same density.

Sample A has mass twenty-four grams and volume eight cubic centimeters. Sample B has mass forty-eight grams and volume sixteen cubic centimeters. Both ratios equal three grams per cubic centimeter. — Doubling both mass and volume leaves this ratio unchanged. Compare mass per cubic centimeter, not mass alone.

Question 1 A sample has mass 30 g and volume 10 cubic cm. What is its density in grams per cubic cm? Answer

Question 2 A uniform sample has density 4 grams per cubic cm and volume 6 cubic cm. What is its mass in grams? Answer

Question 3 Two uniform samples have masses and volumes 20 g / 5 cubic cm and 40 g / 10 cubic cm. How do their densities compare? The heavier sample must be denser Their densities are equal The smaller sample has zero density

Question 4 A uniform sample has mass 36 g and density 6 grams per cubic cm. What is its volume in cubic cm? Answer

Question 5 Which measurement pair is needed to calculate density? Length and color Temperature and color Mass and volume