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Quizzes > Quizzes for Business > Manufacturing

Density Measurement Quiz Practice

Test Your Knowledge of Mass and Volume

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art illustrating a quiz on density measurement

Take this density measurement quiz to test and refine your understanding of how mass and volume interact to determine an object's density. This practice quiz is designed for students and educators looking to master accurate measurement techniques in physics and chemistry. You'll gain confidence in calculating density and identifying suitable measurement methods across different materials. Feel free to adapt or customise any question in our editor, then explore the Measurement Technology Knowledge Test or Construction Materials Density Knowledge Test for deeper practice. Browse all our quizzes to discover additional resources that support your learning goals.

What is the formula for density?
mass/volume
mass+volume
mass*volume
volume/mass
Density is defined as mass divided by volume, which gives the mass per unit volume. Other formulas do not represent this relationship correctly.
A material has a mass of 200 g and a volume of 100 cm³. What is its density in g/cm³?
2 g/cm³
200 g/cm³
0.5 g/cm³
0.02 g/cm³
Density equals mass divided by volume, so 200 g/100 cm³ = 2 g/cm³. The other values do not match this calculation.
If the density of water is 1 g/cm³, what mass of water occupies 50 cm³?
0.5 g
50 g
100 g
1 g
Mass = density - volume = 1 g/cm³ - 50 cm³ = 50 g. The other choices are inconsistent with this product.
A cube of side length 2 cm has a mass of 16 g. What is its density?
0.5 g/cm³
4 g/cm³
2 g/cm³
8 g/cm³
Volume of the cube = 2³ = 8 cm³. Density = 16 g / 8 cm³ = 2 g/cm³. The other options do not result from that division.
Convert a density of 3.5 g/cm³ to kg/m³.
0.0035 kg/m³
3500 kg/m³
35000 kg/m³
35 kg/m³
1 g/cm³ = 1000 kg/m³, so 3.5 g/cm³ = 3.5 - 1000 = 3500 kg/m³. The other values use incorrect conversion factors.
A rock displaces 30 mL of water in a graduated cylinder and has a mass of 78 g. What is its density in g/mL?
2.6 g/mL
26 g/mL
0.26 g/mL
0.38 g/mL
Density = mass/volume = 78 g / 30 mL = 2.6 g/mL. The other options are not consistent with that calculation.
Convert 0.8 g/mL to kg/m³.
8000 kg/m³
800 kg/m³
80 kg/m³
0.8 kg/m³
1 g/mL = 1000 kg/m³, so 0.8 g/mL = 0.8 - 1000 = 800 kg/m³. The other answers use incorrect multipliers.
Which instrument is most appropriate for measuring the density of a gas?
Graduated cylinder displacement
Gas pycnometer
Triple beam balance
Hydrometer
A gas pycnometer measures the volume of a gas at known pressure and temperature to determine its density. A hydrometer measures liquid density, not gas.
If the measured volume of a liquid sample is recorded too low, what effect does this have on the calculated density?
Density will be overestimated
Density will be underestimated
Mass measurement will be affected
No effect on density
Density = mass/volume, so if volume is underestimated, the ratio increases and density is overestimated. The mass measurement is unaffected by that volume error.
Which method would you use to determine the density of an unknown oil sample?
Hydrometer
Gas syringe
Pycnometer
Thermometer
A hydrometer floats in the oil and directly indicates its density. A pycnometer is less practical for oils and a gas syringe or thermometer are unrelated.
A block floats in water with 60% of its volume submerged. What is the block's density in g/cm³? (Density of water = 1 g/cm³)
0.4 g/cm³
0.8 g/cm³
0.6 g/cm³
1.67 g/cm³
Floating equilibrium: fraction submerged = density_object/density_fluid = density_object/1. So density_object = 0.60 g/cm³. Other values do not match 60% submerged.
A student records mass 100.0 ± 0.1 g and volume 50.0 ± 0.2 cm³. Which is the density with propagated uncertainty?
2.00 ± 0.1 g/cm³
2.00 ± 0.05 g/cm³
2.00 ± 0.001 g/cm³
2.00 ± 0.01 g/cm³
Relative errors: (0.1/100)²+(0.2/50)² ≈0.000001+0.000016=0.000017, sqrt=0.0041, - 2.00≈0.008 ' ~0.01 g/cm³. Thus density =2.00±0.01.
A metal has density 7850 kg/m³. What is the mass of a 0.002 m³ sample?
0.157 kg
1570 kg
15.7 kg
1.57 kg
Mass = density - volume = 7850 kg/m³ - 0.002 m³ = 15.7 kg. Other values use incorrect multipliers.
How does increasing temperature generally affect the density of a liquid?
Volume decreases while mass increases
Density decreases
Density increases
No change
Increasing temperature causes thermal expansion, increasing volume at constant mass and thus decreasing density. Liquids typically become less dense when heated.
An empty container weighs 20 g. With 200 mL of an unknown liquid it weighs 170 g. What is the liquid's density in g/mL?
0.65 g/mL
0.75 g/mL
0.95 g/mL
0.85 g/mL
Mass of liquid = 170 g ' 20 g = 150 g. Density = 150 g/200 mL = 0.75 g/mL. Other answers do not match this division.
In hydrostatic weighing, the density of a solid is found using its mass in air (m_air), its apparent mass in water (m_water), and the water density (ϝ_w). Which formula is correct?
ϝ_obj = m_air/m_water - ϝ_w
ϝ_obj = (m_air ' m_water)/m_air - ϝ_w
ϝ_obj = m_water/m_air - ϝ_w
ϝ_obj = m_air/(m_air ' m_water) - ϝ_w
Buoyant force equals m_air ' m_water, and density of object = mass/volume = m_air/(m_air'm_water) times water density. The other forms misplace the ratio.
A composite object consists of two equal-volume materials with densities 2 g/cm³ and 3 g/cm³. What is its overall density?
5 g/cm³
3 g/cm³
2.5 g/cm³
2 g/cm³
Equal volumes give average density = (2+3)/2 = 2.5 g/cm³. Other choices ignore the volume-weighted average.
An irregular solid's volume is measured three times: 15.2 cm³, 15.4 cm³, 15.3 cm³; its mass is 62.0 g. What is the average density and percent uncertainty from volume?
4.05 g/cm³ ± 0.65%
4.05 g/cm³ ± 2.0%
4.05 g/cm³ ± 1.3%
4.00 g/cm³ ± 0.65%
Mean volume = 15.3 cm³, density = 62.0/15.3 ≈ 4.05 g/cm³. Volume uncertainty ±0.1 cm³ gives 0.1/15.3 - 100 ≈0.65%.
Convert a density of 0.005 g/mm³ to kg/m³.
5 kg/m³
50000 kg/m³
5000 kg/m³
500 kg/m³
0.005 g/mm³ = 0.005 g / 1e'9 m³ = 5 - 10❶ g/m³ = 5000 kg/m³. The other options use incorrect unit conversions.
A density measurement is consistently too high. Which is the most likely systematic error?
Volume measurement instrument is miscalibrated, giving values too low.
Mass scale is miscalibrated, giving values too low.
Random fluctuations in temperature.
Variable rounding errors in mass readings.
Underestimating volume in every trial causes consistent overestimation of density (mass/volume). Other errors would not systematically raise density alone.
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Learning Outcomes

  1. Analyse relationships between mass, volume, and density.
  2. Calculate density using given mass and volume measurements.
  3. Identify appropriate methods for measuring density in different contexts.
  4. Apply unit conversions to solve density problems accurately.
  5. Evaluate experimental data to detect measurement errors.

Cheat Sheet

  1. Understand the Density Formula - Density measures how much mass is packed into a specific volume and is calculated by dividing mass by volume (ϝ = m/V). This essential formula helps you predict how materials behave in different contexts, like why some objects feel heavier than others. Dive into the basics for a rock-solid foundation! Britannica: Density Basics
  2. Master Unit Conversions - Converting units smoothly is key to avoid mix-ups; for example, 1 cm³ equals 1 mL, and 1 kg/m³ equals 0.001 g/cm³. Practicing these swaps turns confusion into second nature and ensures you nail every calculation. Let's turn those numbers into your new best friends! The Calculator Site: Density Formula & Conversions
  3. Measure Mass Accurately - Using a well-calibrated balance keeps your mass measurements on point, and tiny mistakes can lead to big density errors. Always zero out the scale and handle samples carefully to boost precision. Think of it as giving your experiments the VIP treatment! Physics Classroom: Measuring Density
  4. Determine Volume Correctly - For neat shapes like cubes or cylinders, rely on geometric formulas (e.g., V = side³ for a cube), and for weird or lumpy objects, use water displacement to catch every nook and cranny. Watching water levels rise can feel like a magic trick in physics class! Keep your meniscus at eye level for spot-on readings. Physics Classroom: Measuring Density
  5. Recognize Density's Role in Buoyancy - An object floats if its density is lower than the fluid it's in and sinks if it's higher - hello, icebergs and submarines! This principle makes boats glide on water and helps engineers design seafaring vessels. Knowing buoyancy feels like holding a secret superpower. Physics Classroom: Buoyancy & Density
  6. Differentiate Between Density and Specific Gravity - Specific gravity is simply the ratio of a substance's density compared to water's density, giving you a unit-free superstar number. This trick lets you compare materials without juggling units and quickly spot heavier or lighter fluids. It's like having a universal density translator in your toolkit! Mettler Toledo: Density & Specific Gravity
  7. Account for Temperature and Pressure Effects - Temperature usually makes substances expand (lower density) and pressure squeezes them tighter (higher density), which is super important for gases and some liquids. Always note lab conditions so your results don't warp under shifting environments. Who knew that a little heat or squeeze could shake up your data? Mettler Toledo: Density Measurements
  8. Practice Density Calculations - Solve a variety of problems - from solids to liquids to gases - to build confidence and spot patterns in your results. The more you practice, the more those formulas and unit swaps become second nature. Turn problem sets into playgrounds for your brain! Physics Classroom: Density Calculations
  9. Understand the Concept of Relative Density - Relative density compares the density of any substance to a chosen reference (usually water) and tells you straight away whether it's heavier or lighter. It's a handy shortcut for identifying unknown samples in the lab or out in the field. Think of it as the express lane to material ID! Mettler Toledo: Relative Density
  10. Evaluate Measurement Errors - No experiment is perfect; look out for instrument limits, temperature fluctuations, and human slip-ups. Tracking these potential hiccups makes your conclusions ironclad and your lab notes legend-worthy. Embrace the art of error analysis for top-tier scientific detective work! Physics Classroom: Error Analysis in Density
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