Test Questions on Density, Mass, and Volume Calculations with Solutions

📚 Quick Study Guide

Density, mass, and volume are fundamental concepts in physics. Understanding their relationship is crucial for solving many problems.

• ⚖️ Mass: The amount of matter in an object. Measured in grams (g) or kilograms (kg).
• 📏 Volume: The amount of space an object occupies. Measured in cubic centimeters (cm³) or milliliters (mL). Note that 1 cm³ = 1 mL.
• ⚗️ Density: The mass per unit volume. It is a measure of how tightly packed the matter is in an object. Measured in g/cm³ or kg/m³.
• 📐 Formula for Density: Density ($ρ$) = Mass ($m$) / Volume ($V$), or $ρ = \frac{m}{V}$.
• 💡 Formula for Mass: Mass ($m$) = Density ($ρ$) * Volume ($V$), or $m = ρV$.
• ➗ Formula for Volume: Volume ($V$) = Mass ($m$) / Density ($ρ$), or $V = \frac{m}{ρ}$.
• 🌡️ Important Note: Always ensure that the units are consistent before performing calculations.

🧪 Practice Quiz

1. A metal cube has a mass of 500g and a volume of 200 cm³. What is its density?
   1. A. 0.4 g/cm³
   2. B. 2.5 g/cm³
   3. C. 700 g/cm³
   4. D. 300 g/cm³
2. What is the volume of a liquid that has a mass of 100g and a density of 2 g/mL?
   1. A. 50 mL
   2. B. 200 mL
   3. C. 0.02 mL
   4. D. 102 mL
3. A stone has a volume of 15 cm³ and a density of 3 g/cm³. What is its mass?
   1. A. 5 g
   2. B. 18 g
   3. C. 45 g
   4. D. 0.2 g
4. If a wooden block has a mass of 60g and a density of 0.6 g/cm³, what is its volume?
   1. A. 36 cm³
   2. B. 100 cm³
   3. C. 60.6 cm³
   4. D. 59.4 cm³
5. What is the mass of a gold bar that has a volume of 10 cm³ and a density of 19.3 g/cm³?
   1. A. 1.93 g
   2. B. 193 g
   3. C. 29.3 g
   4. D. 9.3 g
6. A balloon has a volume of 5 L and contains air with a density of 1.225 kg/m³. What is the mass of the air inside (Note: 1 L = 0.001 m³)?
   1. A. 6.125 kg
   2. B. 0.006125 kg
   3. C. 0.06125 kg
   4. D. 61.25 kg
7. A liquid has a mass of 250g and a volume of 200 mL. What is the density of the liquid?
   1. A. 1.25 g/mL
   2. B. 0.8 g/mL
   3. C. 450 g/mL
   4. D. 50 g/mL