Calculate, estimate and compare volume of cubes and cuboids using standards units, including cubic centimetres and cubic metres (m3), and extending to other units [for example, mm3 and km3] 2 - Reasoning

When delving into the concept of volume, particularly for cubes and cuboids, students are encouraged to calculate, estimate, and compare the volume of these three-dimensional shapes. Volume is measured in standard units such as cubic centimetres (cm³) and cubic metres (m³), with the possibility of extending the learning to include other units like cubic millimetres (mm³) and cubic kilometres (km³). Understanding volume involves recognising that it is the amount of space occupied by an object and is calculated by multiplying the length, width, and height of the shape in question.

In the context of reasoning activities, students might be presented with various problems that require them to apply their knowledge of volume. For instance, they might compare the volume of two different cuboids, determining which has a greater or lesser volume, or they might be asked to estimate the volume of a cube when given only the length of one side. Additionally, they could be challenged to convert between different units of volume, such as from cubic centimetres to cubic metres, which requires an understanding of the relationship between these units. Through these exercises, students develop their mathematical reasoning skills and deepen their comprehension of volume as a measurable attribute of solid figures.