Density Practice

​Formula for Density

Look at Page 1 of the ESRT

Can you find the formula for density there?

Reorder

Create the formula for density by re-ordering the blocks below.

• Density

• $$=$$  

•  Mass

• $$\div$$  

• Volume

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

What is mass?

Mass is just a measurement of how much matter an object is made of.

​

In it's simplest definition, mass is the amount of stuff anything is made out of.

​

You're made of matter, so you have a mass! So does the chair you're sitting on and the air you breathe.​

What is volume?

Volume is a measurement of how much space an object takes up.

​

Really simply, volume is a measure of the size of anything. Objects with larger volume take up more space!​

What is density?

Density is a measurement of how much matter is inside of an object of a certain size (mass per volume).

​

If an object has a high density, it means that there's a lot of stuff packed together inside of it.

Match

Match the variable to its correct definition.

• a measurement of how much matter an object is made of.

• a measurement of how much space an object takes up.

• a measurement of how much matter is inside of an object of a certain size

mass

volume

density

• mass

• volume

• density

In other words, this is how we know that gold is gold and water is water. Each substance or material has a unique amount of "stuff" (matter) that makes it.

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The density of any material is unique to that material

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One tiny piece of gold has the same density as a giant bar of gold.

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Confused? Let's use the formula for density to figure it out.​

No matter the amount of a material we have, its density is always the same.

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​Density of Gold

Let's say we have one big piece of gold​ that has a volume of 10 cubic cm.

That's about the size of a dice cube. We weigh the gold dice and find its mass is 193g.

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Let's say we have another small piece of gold that's about the size of an apple seed at 1 cubic cm. We weigh the gold seed and find its​ mass is 19.3g.

​Volume: 10cm³

Mass: 193g​

​Volume: 1cm³

Mass: 19.3g​

The density of the gold cube is:

​

​

The density of the gold seed is: ​

​

​Density of Gold

​Volume: 10cm³

Mass: 193g​

Density: 19.3g/cm³​

​Volume: 1cm³

Mass: 19.3g

Density: 19.3g/cm³​

​Both pieces of gold have a density of 19.3g/cm³

​= 19.3g/cm³

​= 19.3g/cm³

Match

Match the statements.

• Two similar sized pieces of the same material...

• Two similar sized pieces of different materials...

• Three different sized pieces of different materials...

Have the same densities.

Have two different densities.

Have three different densities.

• Have the same densities.

• Have two different densities.

• Have three different densities.

​Three of the following questions will be on your quiz!

​

The other two will come from the homework for this week.

Multiple Choice

The diagram below represents the mass and volume of a mineral sample being measured. These measurements were used to determine the density of the mineral sample. What is the density of this mineral sample?

• 6 g/mL

•  24 g/mL

• 34 g/mL

•  60 g/mL

Multiple Choice

What is the approximate density of a mineral with a mass of 262.2 grams that displaces 46 cubic centimeters of water?

• 1.8 g/cm³

• 5.7 g/cm³

• 6.1 g/cm³

• 12.2 g/cm³

Multiple Choice

A pebble has a mass of 35 grams and a volume of 14 cubic centimeters. What is its density?

• 0.4 g/cm³

• 2.5 g/cm³

• 490 g/cm³

• 4.0 g/cm³

Multiple Choice

What is the density of a 40-gram object whose volume is 20 ml?

• 2 g

• 2 ml/g

• 2 g/ml

• 2 ml/g

Multiple Choice

The diagram below shows a glass jar containing a clear liquid and a floating rock. Which conclusion about the relative density of the rock and the liquid is true?

• The rock and the liquid have the same density.

• The rock is less dense than the liquid.

• The rock is more dense than the liquid.

Multiple Choice

If the cube below were cut into four smaller cubes, the density of one of the small cubes, compared to that of the original cube, would be

• one-fourth as great

• the same

• four times as great

• one-sixteenth as great

Multiple Choice

A student is studying a mineral in Earth Science class. They determine one characteristic of the mineral and record this number and unit in their notebook: 12g/cm³

What characteristic is represented by the units of g/cm³ ?

• Density

• Mass

• Volume

• Weight

Multiple Choice

A student calculates the densities of five different pieces of aluminum, each having a different volume. Which graph best represents this relationship?

• A

• B

• C

• D

Multiple Choice

A student correctly determined the density of two rocks. If the volumes of the two rocks are equal, the rock with the greater density has a

• rounder shape

• smoother surface

• greater mass

• smaller size

Multiple Choice

Under the same conditions of temperature and pressure, three different samples of the same uniform substance will have the same:

• shape

• density

• mass

• volume