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Mathematics > Grade 8 > Geometry
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Mathematics | Grade : 8

Domain - Geometry

Cluster - Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

[8.G.C.9] - Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Resources:

    Predecessor Standards:

    No Predecessor Standards found.

    Successor Standards:

    • 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.2
      (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
    • GEO.G-MG.A.1
      Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
    • GEO.G-MG.A.3
      Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*
    • 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.2
      (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
    • MII.G-GMD.A.3
      Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
    • MIII.G-MG.A.1
      Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
    • MIII.G-MG.A.3
      Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*
    • PC.G-GMD.A.2
      (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
    • AQR.G-GMD.A.2
      (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

    Same Level Standards:

    • 8.EE.A.2
      Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.