1. Changing Units Volumes Densities LGB Physics – Year 9 Density
Express the following: (a) 500g in units of "kg", (b) 1200g in units of "kg", (c) 0.6 kg in units of "g", (d) 120 cm in units of "m", (e) 2.5 m in units of "cm", (f) 35 cm in units of "mm", and (g) 290 mm in units of "m".
Volumes
A shoe box measures 20 cm by 10 cm by 40 cm. What is its volume?
A window glass measures 30 cm by 30 cm by 0.5 cm. What is its volume?
An ice skating rink has an area of 200 m2 and has a total volume of ice of 4 m3. How thick (on average) must the ice be?
One CD measures 14 cm by 14 cm by 2.0 mm. How many discs can fit into a 3.0 cm wide box?
Measure your textbook. (a) What is its volume? (b) If you were to tear out all the pages and stick them up on the wall, what total surface area would the pages cover?
What is the volume of a box measuring 150 cm by 1.0 m by 1.2 m ?
A measuring cylinder can be used to measure volume. The scale on the side of the cylinder is in units of millilitres (ml). How many "ml" equal 1cm3 ?
Express the following measures of volume: (a) 150 ml in units of cm3, (b) 25 cm3 in units of ml, (c) 0.10 m3 in units of ml, (d) 2 m3 in units of cm3, and (e) cm3 in units of m3.
Densities
Which has greater mass, a kilogram of iron or a kilogram of expanded polystyrene?
A brick has a mass of 1.5 kg and a volume of 500 cm3. What is its density?
The density of jet fuel is 0.80 g/cm3. What is the mass of the fuel in a tank if it holds 10 m3 of fuel?
Balsa wood has a density of 0.2 g/cm3. What volume is occupied by 1 kg of balsa wood?
A piece of plastic measures 40 cm by 5 cm by 0.6 cm and has a mass of 30 g. Find its density.
The density of soft wood is 0.4 g/cm3 and a sample has a mass of 12 g. What is it volume?
The density of lead is 11.0 g/cm3 and the density of iron is 7.5 g/cm3. Which has a greater mass: 16 cm3 of iron or 10 cm3 of lead?
An iceberg will float in the sea with some of it above the surface (though a lot more is below the surface). What can this tell us about the density of ice compared with the density of water?
A measuring cylinder is filled with water to a level of 100 ml. Ice of 100 g is then added. (a) What is the level of water after the ice is put into the cylinder? (b) After several hours ail the ice is melted. How does the level of water in the cylinder now compare with your last answer?
If a balloon is filled with hydrogen and let go, it rises upwards. But if a balloon is filled with carbon dioxide, it falls downward. Explain why this is.
A block of metal is 5 cm by 4 cm by 3 cm. It has a mass of 240 g. What is its density in kg/m3?
What is the mass of 200 cm3 of mercury if its density is 13.6 kg/m3 ?

2. Changing Units Volumes Densities LGB Physics – Year 9 Density
Express the following: (a) 500g in units of "kg", (b) 1200g in units of "kg", (c) 0.6 kg in units of "g", (d) 120 cm in units of "m", (e) 2.5 m in units of "cm", (f) 35 cm in units of "mm", and (g) 290 mm in units of "m".
Volumes
A shoe box measures 20 cm by 10 cm by 40 cm. What is its volume?
A window glass measures 30 cm by 30 cm by 0.5 cm. What is its volume?
An ice skating rink has an area of 200 m2 and has a total volume of ice of 4 m3. How thick (on average) must the ice be?
One CD measures 14 cm by 14 cm by 2.0 mm. How many discs can fit into a 3.0 cm wide box?
Measure your textbook. (a) What is its volume? (b) If you were to tear out all the pages and stick them up on the wall, what total surface area would the pages cover?
What is the volume of a box measuring 150 cm by 1.0 m by 1.2 m ?
A measuring cylinder can be used to measure volume. The scale on the side of the cylinder is in units of millilitres (ml). How many "ml" equal 1cm3 ?
Express the following measures of volume: (a) 150 ml in units of cm3, (b) 25 cm3 in units of ml, (c) 0.10 m3 in units of ml, (d) 2 m3 in units of cm3, and (e) cm3 in units of m3.
Densities
Which has greater mass, a kilogram of iron or a kilogram of expanded polystyrene?
A brick has a mass of 1.5 kg and a volume of 500 cm3. What is its density?
The density of jet fuel is 0.80 g/cm3. What is the mass of the fuel in a tank if it holds 10 m3 of fuel?
Balsa wood has a density of 0.2 g/cm3. What volume is occupied by 1 kg of balsa wood?
A piece of plastic measures 40 cm by 5 cm by 0.6 cm and has a mass of 30 g. Find its density.
The density of soft wood is 0.4 g/cm3 and a sample has a mass of 12 g. What is it volume?
The density of lead is 11.0 g/cm3 and the density of iron is 7.5 g/cm3. Which has a greater mass: 16 cm3 of iron or 10 cm3 of lead?
An iceberg will float in the sea with some of it above the surface (though a lot more is below the surface). What can this tell us about the density of ice compared with the density of water?
A measuring cylinder is filled with water to a level of 100 ml. Ice of 100 g is then added. (a) What is the level of water after the ice is put into the cylinder? (b) After several hours ail the ice is melted. How does the level of water in the cylinder now compare with your last answer?
If a balloon is filled with hydrogen and let go, it rises upwards. But if a balloon is filled with carbon dioxide, it falls downward. Explain why this is.
A block of metal is 5 cm by 4 cm by 3 cm. It has a mass of 240 g. What is its density in kg/m3?
What is the mass of 200 cm3 of mercury if its density is 13.6 kg/m3 ?