Density IGCSE/GCSE

The mass of a piece of metal is 1200 g. A measuring cylinder contains 150 cm³ of water. The piece of metal is put into the measuring cylinder. The water level rises to 250 cm³ and covers the metal.

What is the density of the metal?

• 3.0 g / cm³

• 4.8 g / cm³

• 8.0 g / cm³

• 12.0 g / cm³

A person measures the length, width, height and mass of a metal block with rectangular sides.

Which of these measurements must be used in order to calculate the density of the metal?

• mass only

• height and mass only

• length, width and height only

• length, width, height and mass

A liquid has a volume of 100 cm³ and a mass of 85 g.

The density of water is 1.0 g / cm³

.

How does the density of the liquid compare with the density of water?

• Its density is higher than that of water.

• Its density is lower than that of water.

• Its density is the same as that of water.

• It is impossible to say with only this data.

A measuring cylinder has a mass of 120 g when empty.

When it contains 50 cm³ of a liquid, the total mass of the measuring cylinder and the liquid is

160 g.

What is the density of the liquid?

• $\frac{40}{50}\ \frac{g}{cm^3}$

• $\frac{50}{40}\ \frac{g}{cm^3}$

• $\frac{120}{50}\ \frac{g}{cm^3}$

• $\frac{160}{50}\ \frac{g}{cm^3}$

A stone has a volume of 0.50 cm³ and a mass of 2.0 g.

What is the density of the stone?

• 0,25 g/cm³

• 1,5 g/cm³

• 2.5 g/cm³

• 4.0 g/cm³

A student is told to measure the density of a liquid and also of a large cube of metal.

Which pieces of equipment are sufficient to be able to take the measurements needed?

• balance, measuring cylinder and ruler

• balance and thermometer

• measuring cylinder and ruler

• measuring cylinder, ruler and thermometer

A student wishes to find the volume of a piece of wood of irregular shape. Her experiment requires

the use of a small brass object of mass 200 g.

(a) Calculate the volume of the brass object. The density of brass is 8.4 g / cm³.

volume = ...........................................................[2]

A student has 500 identical, rectangular sheets of paper. The mass of 1.0 m² of the paper is 0.080 kg.

(a) Using a metre rule, she measures the length of one sheet of paper and its width. The length is 0.300 m and the width is 0.210 m.

(i) Calculate the mass of one sheet of paper.

mass = ...........................................................[1]

Define density.

.....................................................................................................

................................................................................................ [1]

The density of aluminium is 2.70 g / cm³. The thickness of a rectangular sheet of aluminium foil varies, but is much less than 1 mm.

A student wishes to find the average thickness. She obtains the following measurements.

mass of sheet = 60.7 g

length of sheet = 50.0 cm

width of sheet = 30.0 cm

Calculate the student’s values for

(i) the volume of the sheet,

volume = .................................................. [2]