3.6 Lesson

Unit 3 Lesson 6

Area, Volume, & Density

Complete this Quizizz Lesson, then complete the Lesson 3.6 Practice Problems assigned to you in Canvas.

Population Density

We can calculate the population density of a given area by dividing the number of people living there by the "area" of the place (total number of square miles, km, meters, etc.)

Population Density = population/area

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In 2018, Augusta had a population of 196,807. Augusta has a land area (not including water areas) of 306.2 square miles. What was the population density in 2018?

people per square mile (round to the nearest whole person).

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A circular petri dish has a radius of 3 cm. Sierra counts 95 bacteria in the petri dish when she examines it under a microscope. What is the density of the bacteria per square centimeter? (round to the tenths place, type in number only)

*Hint: the area of a circle is $A=\pi r^2$

The amount of molecules in an object. How much mass is in a certain volume will determine its density.

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Density of Masses

Fun fact: The math problem that got a man sentenced to death :)

Volume & Density

You can find the density of a 3 dimensional object by dividing its mass by its volume.

Density

An object has a mass of 62 g. It is in the shape of s rectangular prism with dimensions of 4 cm by 2.5 cm by 2 cm. What is the density of the object?

The density of a diamond is 3.52 g/cubic cm. If the volume of the diamond is 0.2 cubic cm, what is the mass of the diamond?

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What is the density of a block of wood measuring 0.9 cm X 2 cm X 6 cm with a mass of 5.4g? (Round to the tenths place, type in numbers only)

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Water has a density of approximately 1 g/cm³. Objects will sink if their density is greater that water and will float if their density is less. A cube measuring 2cm on each side weights 5g; will it sink or float?

Multiple Choice

Jack has a rock. The rock has a mass of 14g and a volume of 2cm³. What is the density of the rock?

• 7 mL
• 7 g/cm³
• 28 g/cm³
• 1/7 g/cm³

Multiple Choice

Gold has a density of 19.32 g/ cubic cm. If the volume of the gold is 11 cubic cm, what is the mass?

• 1.77 g

• 0.57 g

• 173.88 g

• 212.52 g

Multiple Choice

What two factors do you need to calculate density?

• matter and mass
• matter and volume
• mass and volume
• weight and volume

Multiple Choice

What is the formula to calculate density

• mass/volume
• mass x volume
• mass + volume
• mass - volume

Multiple Choice

If you have a gold brick that is 2 cm by 3 cm by 4 cm and has a density of 19.3 g/cm³, what is its mass?

• 463.2 g/cm³
• 463.2 g
• 0.804 kg
• 0.804 g

Multiple Choice

Remember: D = mass/volume

• 0.25 g/cm³

• 20 g/cm³

• 4 g/cm³

• 12 g/cm³