SME
Grade 6 Science · Physical Science
Density: mass in each unit of volume
Use this for “A block has a mass of 54 g and a volume of 20 cm³. What is its density?”
Chart
Volume: 20 cm³
Mass: 54 g
Density: 2.7 g/cm³
This is an example. Type your own values to start a new problem.
Mass (g)
÷
Volume (cm³)
=
Density (g/cm³)
Formulas
54 ÷ 20 = 2.7
Mass ÷ volume = density
Assumptions
•
Density is how much mass is packed into each cubic centimeter.
•
Every piece of one pure material has the same density, big or small, so density helps identify it.
•
Water’s density is 1 g/cm³. A solid denser than water sinks in it; a less dense one floats.
•
g/cm³ means grams in each cubic centimeter. 1 mL is 1 cm³, so g/mL is the same.
Step-by-step
WE KNOW
Mass: 54 g
Volume: 20 cm³
FIND
density
Step 1 · Find density
54 ÷ 20 = ?
Mass ÷ volume = density
Density is the mass in each cubic centimeter, so share the mass over the volume.
Density = 2.7 g/cm³ (about the density of aluminum: it sinks in water)
Check
Put the numbers back in. Both sides should match.
2.7 × 20 = 54 ✓
Topic check
See what you know: 5 questions on this topic
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