Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.
A solid figure which can be packed without gaps or overlaps using "n" unit cubes is said to have a volume of "n" cubic units.
Recognize area as an attribute of plane figures and understand concepts of area measurement.
A square with side length 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.