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Study GuideThree dimensional geometry/Measurement

Worksheet/Answer keyThree dimensional geometry/Measurement

Worksheet/Answer keyThree dimensional geometry/Measurement

Worksheet/Answer keyThree dimensional geometry/Measurement

OK.PA. Pre-Algebra (PA)

PA.GM. Geometry & Measurement (GM)

PA.GM.2. Calculate surface area and volume of three-dimensional figures.

PA.GM.2.1. Calculate the surface area of a rectangular prism using decomposition or nets. Use appropriate measurements such as cm^2.

PA.GM.2.2. Calculate the surface area of a cylinder, in terms of π and using approximations for π, using decomposition or nets. Use appropriate measurements such as cm^2.

PA.GM.2.3. Develop and use the formulas V = lwh and V = bh to determine the volume of rectangular prisms. Justify why base area (B) and height (h) are multiplied to find the volume of a rectangular prism. Use appropriate measurements such as cm^3.

PA.GM.2.4. Develop and use the formulas V = πr^2h and V = Bh to determine the volume of right cylinders, in terms of π and using approximations for π. Justify why base area (B) and height (h) are multiplied to find the volume of a right cylinder. Use appropriate measurements such as cm^3.

OK.G. Geometry (G)

G.RL. Geometry: Reasoning & Logic (G.RL)

G.RL.1. Use appropriate tools and logic to evaluate mathematical arguments.

G.RL.1.1. Understand the use of undefined terms, definitions, postulates, and theorems in logical arguments/proofs.

G.3D. Geometry: Three-Dimensional Shapes (G.3D)

G.3D.1. Solve real-world and mathematical problems involving three-dimensional figures.

G.3D.1.1. Solve real-world and mathematical problems using the surface area and volume of prisms, cylinders, pyramids, cones, spheres, and composites of these figures. Use nets, measuring devices, or formulas as appropriate.