5.MD.5a: Understanding the Calculation of Volume in a Right Rectangular Prism Using Whole-number Side Lengths and Unit Cubes

Grade: 5th Grade

Domain: MD: Measurement and Data

Standard Description

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.

Domain Description

Learn to switch between different standard measurements (like turning 5 cm into 0.05 m) and utilise this in solving complex, real-life problems. Construct a line plot for measuring data in fraction units (1/2, 1/4, 1/8) and apply fraction operations to solve problems based on line plots, such as equally redistributing liquid in beakers. Understand that a cube with 1 unit side length, deemed a "unit cube," has a volume of "one cubic unit."

Know that a solid figure, which can be filled with unit cubes without any space left, has a volume of n cubic units. Master measurement of volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and makeshift units. Understand how to find the volume of a right rectangular prism by packing it with unit cubes and validate that the volume is the same when you multiply the edge lengths, equivalent to multiplying the height by the base's area.

Show threefold whole-number products as volumes to exemplify the associative property of multiplication. Use the formulas V = l × w × h and V = b × h to find volumes of right rectangular prisms with whole number edge lengths in realistic and mathematical