Standards with the same topic and subject but for other grades
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume.
Measurement & Data: Geometric measurement: Understand concepts of volume and relate volume to multiplication and to addition.
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 𝑛𝑛 cubic units.
Apply the formulas 𝑉 = 𝑙 × 𝑤 × ℎ and 𝑉 = 𝑏 × ℎ for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
Model 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.
Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately.
Use the additive nature of volume to 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.
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.