MA.6.G.4.3Archived Standard

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Determine a missing dimension of a plane figure or prism given its area or volume and some of the dimensions, or determine the area or volume given the dimensions.

Remarks

Example: The volume of a rectangular prism is 112 cubic cm. The length is 7 cm, and the height is 8 cm. What is the depth of the prism?

 

Example: The figure below shows the floor of a living room. The rectangular part is covered with a carpet that covers a 22 square feet area. The house owner wants to cover the triangular part with carpet as well. Use the information provided in figure to determine the minimum additional carpet that will need to be purchased to cover the floor.

 

 

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Geometry
Idea: Level 2: Basic Application of Skills & Concepts
Supporting Idea: Geometry and Measurement - Geometry and Measurement
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)
    • Also assesses MA.6.A.3.4 Solve problems given a formula.
  • Clarification :
    Students will use formulas to determine a dimension of a plane figure or right prism, given its area or volume and the remaining dimensions. 

    Students will determine the area of a plane figure or the volume of a right prism given the dimensions.

  • Content Limits :
    Items may include three-dimensional figures, which are limited to cubes and rectangular prisms. 

    Items may include two-dimensional figures, which are limited to triangles, parallelograms, trapezoids, rectangles, squares, rhombi, and circles. 

    Dimensions of figures may be whole numbers; fractions with denominators of 2, 4, or 10; or decimal values, which may include 0.25, 0.75, or tenths. 

    Items will not include composite two-dimensional or composite three-dimensional figures. 

    Items will not include two-dimensional figures represented on grids.

  • Stimulus Attributes :
    Items should be set in a real-world or mathematical context.

    Items that are set in real-world context may use length and width as dimensions as well as base and height as dimensions.

    Graphic representations of two- and three-dimensional figures may be included, but are not required.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Lamar is building a glass case for a reptile display. The interior of the case is in the shape of a rectangular prism, with the dimensions shown in the diagram.

    Rectangular Prism

    The total volume of the interior of the case is 154 cubic feet. What is the value of h?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

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