7th grade · Science · Unit 8 of 14
Density & Buoyancy
Mass, volume, floating and sinking
What your child practices
Calculating density from mass and volume, explaining why solids, liquids and gases differ in density using the particle theory, and predicting whether objects float or sink in different fluids.
New York State Learning Standards learning standard: MS-PS1-7 · density as a property that identifies a sample of matter, and why things float or sink
How we explain it
Children can open this short lesson before they practice.
- Density = mass ÷ volume.
- Objects less dense than a fluid float; denser ones sink.
- Gases are less dense than liquids because their particles are farther apart.
Example: A block has a mass of 15 g and a volume of 5 cm³. What is its density? Density = mass ÷ volume. 15 ÷ 5 = 3. Answer: 3 g/cm³
Density & Buoyancy in New York
In the New York State Learning Standards, this is unit 8 of 14 in 7th grade Science, after Particles & Mixtures and before Chemical Reactions.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A block has a mass of 42 g and a volume of 7 cm³. What is its density in g/cm³?
answer boxg/cm³
6 g/cm³
Hint: Density = mass ÷ volume.
Question 2
A metal has a density of 4 g/cm³. What is the mass of 10 cm³ of it, in g?
answer boxg
40 g
Hint: Mass = density × volume.
Question 3
A rock sinks in water. What does this tell you about the rock?
- It is more dense than water.
- It has no mass.
- It is less dense than water.
- It is a gas.
It is more dense than water.
Hint: Things sink in a fluid when they are denser than the fluid.
Question 4
A hot-air balloon rises because the heated air inside it is…
- less dense than the cooler air around it
- more dense than the cooler air around it
- not made of particles
- made of a different gas
less dense than the cooler air around it
Hint: Warm air expands, so the same mass takes up more volume and is less dense.
Question 5
A block of aluminum is cut in half. What is the density of each half?
- the same as the original block
- zero
- half the original
- double the original
the same as the original block
Hint: Mass and volume both halve, so their ratio stays the same.
Question 6
Pour these liquids into a tall jar. Order them from the bottom layer to the top layer.
- 🫒Vegetable oil (0.92 g/cm³)
- 💧Water (1.00 g/cm³)
- 🍯Honey (1.42 g/cm³)
- ⚪Mercury (13.6 g/cm³)
Mercury (13.6 g/cm³) → Honey (1.42 g/cm³) → Water (1.00 g/cm³) → Vegetable oil (0.92 g/cm³)
Hint: The densest liquid sinks to the bottom and the least dense floats on top.