Lesson Plan

Find the volume of a right rectangular prism with fractional edges by packing it with unit-fraction cubes (1/2-unit, 1/3-unit, 1/4-unit) and counting.

Compute the total volume from a cube count by multiplying by the volume of one cube.

Show, via algebraic regrouping, that packing-and-counting yields the same volume as multiplying the edge lengths.

Apply V = lwh to right rectangular prisms with mixed-number or fractional edges.

Apply V = Bh, computing B as the area of one base face, and confirm it gives the same answer as V = lwh.

Solve real-world problems involving the volume of right rectangular prisms with fractional dimensions, including capacity, unit conversion, and fit problems.

6.G.A.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. -- Standard 6.G.A.2