GCSE Maths Practice: units-and-conversions

Question 2 of 10

This question practises calculating the density of a material. Density is a measure of how much mass is contained in a given volume. It is an important concept in physics, chemistry, and everyday applications, such as determining if an object will float in water.

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\( \begin{array}{l}\text{A material has mass 600 g and volume 200 cm³.} \\ \text{Find its density in g/cm³.}\end{array} \)

Choose one option:

Always check units before calculating. Use Mass ÷ Volume formula directly.

Density is defined as mass divided by volume. To solve problems, always ensure the mass and volume are in compatible units. For example, if a material has mass 600 g and volume 200 cm³, divide 600 by 200 to get 3 g/cm³. Understanding density helps explain why some materials float or sink, why metals are heavier than wood, and it is useful in real-world engineering and manufacturing. Students should practice converting between units such as kg/m³ and g/cm³, and understand the relationship between density, mass, and volume. Visualising density can be done by imagining the same volume filled with different masses, showing heavier materials are denser.