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 = l w h and V = B h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Solve real-world and mathematical problems involving area, surface area, and volume. (Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


  • Item Type(s): This benchmark may be assessed using: EE item(s)

  • Assessment Limits :
    Prisms in items must be right rectangular prisms. Unit fractional edge lengths for the unit cubes used for packing must have a numerator of 1.
  • Calculator :


  • Context :



  • Test Item #: Sample Item 1
  • Question: A right rectangular prism has a length of 4 ½ feet, a width of 6 ½ feet, and a height of 8 feet. 

    What is the volume of the prism?

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question: Alex has 64 cubes, with dimensions in feet (ft), like the one shown.


    He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. 

    A. What is the volume, in cubic feet, of the larger rectangular prism?

    Volume = 

    B. What is a possible set of dimensions, in feet, of the larger rectangular prism?

    Length = 

    Width = 

    Height =

  • Difficulty: N/A
  • Type: EE: Equation Editor