calculating density

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

Which substance in the table has the lowest density?

• A

• B

• C

• D

A student wishes to determine the density of the solid block shown. Which quantities must be known?

• the area of the shaded face and the volume of the block

• the area of the shaded face and the weight of the block

• the mass of the block and the height of the block

• the mass of the block and the volume of the block

A liquid has a volume of 100cm³ and a mass of 85g. The density of water is 1.0g/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.

The table gives the volumes and masses of four objects.

Which object has the greatest density?

• A

• B

• C

• D

The diagram shows the dimensions of a rectangular block of metal of mass m. Which expression is used to calculate the density of the metal?

• m × p × q

• m × p × q × r

• 
• 

Diagram 1 shows an empty measuring cylinder on a balance.

Diagram 2 shows the same measuring cylinder on the balance, but it now contains a liquid. What is the density of the liquid?

• 0.2g/cm³

• 0.5 g/cm³

• 2 g/cm³

• 5 g/cm³

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

When it contains 50cm³ of a liquid, the total mass of the measuring cylinder and the liquid is 160g.

What is the density of the liquid?

• 
• 
• 
• 

A measuring cylinder containing liquid is placed on a top-pan balance. The apparatus is left overnight and some of the liquid evaporates. The diagrams show the readings. What is the density of the liquid?

• 0.875g/cm³

• 1.14g/cm³

• 1.40g/cm³

• 1.42g/cm³

Four rectangular blocks, P, Q, R and S are shown. Each block is labelled with its size and its mass. Which two blocks have the same density?

• P anQ

• P and R

• Q and R

• R and S