Describe, define, and determine surface area and volume of prisms by using appropriate units and selecting strategies and tools.
Subject Area: X-Mathematics (former standards - 2008)
Grade: 5
Body of Knowledge: Geometry
Big Idea: BIG IDEA 3 - Describe three-dimensional shapes and analyze their properties, including volume and surface area.
Date Adopted or Revised: 09/07
Date of Last Rating: 06/07
Status: State Board Approved
Assessed: Yes


Teachers should develop definitions by interpreting surface area as "covering all surfaces" or "wrapping with no gaps or overlaps" and volume as "filling".


Example: Students find the total number of same-sized units of volume needed to fill a prism.


Example: Students recognize that the surface area of a cube is the sum of the areas of 6 square regions.


  • Reporting Category: Geometry and Measurement
  • Item Type(s): This benchmark will be assessed using: MC item(s)

  • Clarification :
    Students will find the volume and/or surface area of rectangular prisms and cubes.
  • Content Limits :
    Dimensions of prisms must be whole numbers no larger than 12, and the surface area or calculated volume must be less than 1000.

    Items will not include volume and surface areas of nonrectangular prisms (e.g., triangular prisms).

    Items involving surface area must include a net or a graphic of the assessed three-dimensional shape.
  • Stimulus Attributes :
    Graphics must be used in all these items.

    Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.
  • Response Attributes :
    Responses may be numerals, expressions, or equations.