Find the volume of a right rectangular prism with fractional edge lengths

What you'll learn

1. 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.
2. Compute the total volume from a cube count by multiplying by the volume of one cube.
3. Show, via algebraic regrouping, that packing-and-counting yields the same volume as multiplying the edge lengths.
4. Apply V = lwh to right rectangular prisms with mixed-number or fractional edges.
5. Apply V = Bh, computing B as the area of one base face, and confirm it gives the same answer as V = lwh.
6. Solve real-world problems involving the volume of right rectangular prisms with fractional dimensions, including capacity, unit conversion, and fit problems.

Prerequisites

• Interpret and compute quotients of fractions