Y10A P1.4 L1-Density

​Y10 IGCSE Coordinated Sciences
PHYSICS

Open Ended

Why is understanding density important in everyday life?

Multiple Choice

What is the SI unit for measuring volume?

• Cubic metre (m³)

• Litre (l)

• Cubic centimetre (cm³)

• Millilitre (ml)

Multiple Choice

How is 1 cubic metre (m³) defined in terms of its dimensions?

• 1m x 1m x 1m

• 1m x 1m x 10m

• 10m x 10m x 10m

• 1m x 10m x 1m

Fill in the Blank

1 cubic metre (m³) is equal to ___ litres (l).

Multiple Choice

If you have a container with a volume of 250 cm³, how many millilitres of water can it hold?

• 250 ml

• 25 ml

• 2.5 ml

• 1000 ml

Multiple Select

Which of the following statements are correct about the relationship between litres, cubic centimetres, and millilitres?

• 1 litre = 1000 cubic centimetres (cm³)

• 1 litre = 1000 millilitres (ml)

• 1 cubic centimetre (cm³) = 1 millilitre (ml)

• 1 litre = 100 cubic centimetres (cm³)

Multiple Choice

Which of the following statements about SI units of volume is correct?

• 1 cubic metre is equal to 1000 litres.

• 1 litre is equal to 100 cubic centimetres.

• 1 cubic centimetre is equal to 10 millilitres.

• 1 litre is equal to 100 cubic decimetres.

Fill in the Blank

Fill in the blank: The formula for density is DENSITY = ___ / Volume.

Multiple Select

Select all the substances from the table that have a density less than water.

• Wood

• Ice

• Copper

• Lead

Multiple Choice

Which of the following substances has the highest density according to the table?

• Copper

• Lead

• Aluminium

• Water

Match

Look at the picture and match the following:

• Density 1.25g/ml

• Density

  0.89 g/ml

• Density

  1.05g/ml

C

A

B

• C

• A

• B

Open Ended

Explain why lead is heavier than aluminium for the same volume, using the concept of density.

Multiple Choice

Which of the following formulas is used to calculate the density of an object?

• density = mass / volume

• density = volume / mass

• density = mass x volume

• density = mass + volume

Fill in the Blank

The formula for calculating mass is m = ___ x ρ.

Multiple Choice

Calculate the density of the rectangular prism

• 2 g/cm³

• 4 g/cm³

• 6 g/cm³

• 8 g/cm³

Multiple Choice

A mechanical pencil has the density of 3.000 g/cm³.  The volume of the pencil is 15.8 cm³.  What is the mass of the pencil?

• 47.4 g
• 50 g
• 0.190  g
• 5.27 g

Multiple Choice

Calculate the volume of a liquid with a density of 5.45 g/mL and a mass of 65 g.

• 11.9 mL

• 354 mL

• 0.0838 mL

• 59.6 mL

Multiple Choice

Pure gold has a density of 19.32 g/cm³. How large would a piece of gold be if it had a mass of 318.97 g?

• 6,163 cm³

• 16.51 cm³

• 0.6057 cm³

• 299.7 cm3

Multiple Choice

While digging in the backyard, you find an old coin. Its mass is 26.76 g and its volume is 3 cm³. What is the coin made of?

• Marble

• Quartz

• Copper

• Gold

• Platinum

Calculating Volume of regular solids

For three-dimensional shapes like cubes and rectangular prisms, we can find the volume by measuring its dimensions; using a unit of length (e.g. meters or centimeters) and then applying the formula L x W x H to determine its volume. The unit of measurement would be the cubic value of the unit used for length.

Multiple Choice

Which formula would you use to calculate the volume of a rectangular block?

• length x width x height

• π x radius² x height

• mass / volume

• length + width + height

Multiple Choice

Which lab tool might you use to measure the volume of a liquid?

• electric scale
• bunsen burner
• test tube
• graduated cylinder

Calculating Volume of liquids

Measuring liquid volume requires a certain method. Vessels used to measure the volume of a liquid should always be placed on a flat surface.
The surface of liquids have a tendency to form a curve (called the meniscus) which should be read at the lowest level of the surface of the liquid, making sure that the eye is level with the surface of the liquid.

Multiple Choice

What do you call the curve in the surface of a liquid in a graduated cylinder that we use to measure the volume of an irregular object?

• a measurement curve

• menicus

• eclipsis

Multiple Choice

At which point should your eyes be when you read a graduated cylinder? (Hint: see the letter next to the eye)

• A
• B
• C

Multiple Choice

What is the volume of the liquid in this graduated cylinder?

• 8.5 mL 
• 7.5 mL 
• 8 mL 
• .1 mL

Calculating volume of irregular solids

 We can find the volume of an irregular solid object using a method called water displacement method.

Step 1 is to fill the cylinder with enough water to immerse the object and measure the volume.

Next you would add the object to the water until it is totally submerged and measure the new volume of the water.
Subtract the first reading from the second to get the volume, in milliliters, of the object.

Multiple Select

Which of the following steps are necessary to determine the volume of an irregular solid using a measuring cylinder?

• Measure the mass of the solid

• Read the water level before and after adding the solid

• Subtract the initial volume from the final volume

• Multiply the mass by the volume

Multiple Choice

The green jade sample has a volume of

• Cannot be determined
• 10.5 mL
• 50.0 mL
• 60.5 mL

Multiple Choice

If you start with 150 mL in a graduated cylinder and add an irregular shaped object and the water level raises to 157.6 mL, what is the volume of your irregular shaped object?

• 7 mL

• 157.6 mL

• 7.6 mL

Fill in the Blank

What is the volume of the object?

Multiple Choice

Which of the following best describes density?

• The amount of space an object occupies

• The amount of matter in an object

• The mass per unit volume of a substance

• The weight of an object in air

Open Ended

After learning about density, mass, and volume, what is one real-life situation where understanding these concepts could be useful?