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Mathematics > Grade 6 > Geometry
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Mathematics | Grade : 6

Domain - Geometry

Cluster - Solve real-world and mathematical problems involving area, surface area, and volume.

[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.

Resources:


  • Unit fraction
    A fraction with a numerator of 1, such as 1/3 or 1/5.

Predecessor Standards:

  • 5.MD.C.5.a
    Find the volume of a right rectangular prism with whole-number edge lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
  • 5.MD.C.5.b
    Apply the formula V = l × w × h and V = B × h (where B stands for the area of the base) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.

Successor Standards:

  • 7.G.B.6
    Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
  • GEO.G-GMD.A.1
    Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
  • GEO.G-GMD.A.3
    Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
  • MII.G-GMD.A.1
    Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
  • MII.G-GMD.A.3
    Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*

Same Level Standards:

No Same Level Standards found.