G-GMD: Geometry - Geometric Measurement and Dimension

Geometry - Geometric Measurement and Dimension

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Geometric Measurement and Dimension covers volume formulas for cylinders, pyramids, cones, and spheres, with attention to Cavalieri's Principle. Cross-sections of three-dimensional figures and solids of revolution are also addressed. Content is central to Geometry.

G-GMD.AExplain volume formulas and use them to solve problems.G-GMD.BVisualize relationships between two-dimensional and three-dimensional objects.
Example Problems
A hexagonal pyramid has a volume of and a height of .
What is the area of the base of the pyramid?
The base of a solid is the region enclosed by the graphs of and , between and .

Cross sections of the solid perpendicular to the x-axis are rectangles whose height is
.

What
definite integral gives the volume of the solid?
A coin has a circumference of .
What is the
diameter of the coin in millimeters?
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