Colorado Academic Standards for Mathematics (2010)
5.4.1.a.ii
d5f35f3f-8eb4-59ee-9d2e-0595a811c58b de4fbbcf-2234-4750-beb4-888ec56b8459 5.4.1 5.4.1.a 5.4.1.a.ii
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.
Translations
Common Core State Standards for Math
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
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.
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
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.
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.