DENSITY, MASS AND VOLUME – PRACTICE QUESTIONS
CALCULATOR ALLOWED
1.
A marble has a mass of 5 grams and a volume of 2 cm
3
.
Work out the density of the marble, in g/cm
3
.
2.
A block of wood has a density of 0.75 g/cm
3
and a volume of 120 cm
3
.
Work out the mass of the block of wood, in grams.
3.
A brick has a density of 500 kg/m
3
and a mass of 10.5 kilograms.
Work out the volume of the brick, in m
3
.
4.
A metal rod has a mass of 150 grams and a volume of 25 m
3
.
Work out the density of the rod, in g/m
3
.
5.
A gold bar has a density of 19 g/cm
3
and a mass of 9,500 grams.
Work out the volume of the gold bar, in cm
3
.
6.
A piece of aluminium has a density of 2.6 g/cm
3
and a volume of 15 cm
3
.
Work out the mass of the aluminium, in grams.
7.
A cricket ball has a density of 0.8 g/cm
3
and a mass of 165 grams.
Work out the volume of the cricket ball, in cm
3
.
8.
A piece of carbon has a density of 2.2 g/cm
3
and a volume of 70 cm
3
.
Work out the mass of the piece of carbon, in grams.
9.
A cube has side length 8 cm and has a mass of 960 grams.
Work out the density of the cube, in g/cm
3
.
10.
Pictured below is a block of wood.
The block has a mass of 288 grams.
Work out the density of the block of wood, in g/cm
3
.
11.
Pictured below is a metal sheet.
The density of the metal sheet is 5.5 g/cm
3
.
Work out the mass of the metal sheet, in grams.
5 cm
4 cm
12 cm
15 cm
1.2 cm
42 cm
12.
Pictured below are two blocks – Block A and Block B.
Block A Block B
Block A is made from tin and Block B is made from tungsten.
Tin has a density of 7.3 g/cm
3
.
Tungsten has a density of 19.3 g/cm
3
.
Which block has the largest mass – Block A or Block B?
13.
Pictured below is a block of wood.
The block of wood has a mass of 980 grams.
Work out the density of the block of wood, to 2 decimal places.
4.4 cm
2.7 cm
8.8 cm
3 cm 4.5 cm
3 cm
23 cm
3 cm
38 cm
14.
Pictured below is a metal cylinder.
The cylinder has a mass of 21,000 kilograms.
Work out the density of the cylinder, in kg/m
3
.
Give your answer to 4 significant figures.
15.
Pictured below is a block of wood.
The density of the wood is 540 kg/m
3
.
The block has a mass of 28,000 kg.
Find x, to 2 significant figures.
1.4 m
2.9 m
3.6 m
1.9 m
x m
16.
Pictured below is a cube.
The cube has a mass of 6.5 kilograms and a density of 15.4 g/cm
3
.
Find the side length of the cube, to 2 significant figures.
17.
Pictured below is a triangular prism.
The triangular prism has a mass of 720 kilograms and a density of 1.2 g/cm
3
.
Find x, to 2 significant figures.
70 cm
x m
1.2 m
18.
Pictured below is a cylinder.
Nicola is trying to work out whether the cylinder is made of silicon or carbon.
The density of silicon is 2.33 g/cm
3
and the density of carbon is 2.26 g/cm
3
.
The cylinder has a mass of 112 kilograms.
Which material do you think the cylinder is made of?
19.
Pictured below are two solids – Solid A and Solid B.
Solid A has a density of 1.7 g/cm
3
.
Solid B has a density of 2,750 kg/m
3
.
Which solid has the largest mass – Solid A or Solid B?
24 cm
1.1 m
Solid A Solid B
36 cm
11 cm
68 cm
45 cm
9 cm
80 cm
20.
Material A has a density of 2.64 g/cm
3
.
Material B has a density of 1.91 g/cm
3
.
2 kilograms of Material A and 950 grams of Material B form Material C.
Work out the density of Material C, to 2 decimal places.
21.
Liquid A has a density of 1.08 g/cm
3
.
Liquid B has a density of x g/cm
3
.
750 cm
3
of Liquid A is mixed with 990 cm
3
of Liquid B to form Liquid C.
The mass of Liquid C is 1.7 kilograms.
Find the density of Liquid B, to 2 decimal places.
