M.2HS.61
Use volume formulas for cylinders, pyramids, cones and spheres to solve problems. Volumes of solid figures scale by k^3 under a similarity transformation with scale factor k.
Example Problems
Polygon H is a scaled copy of Polygon F using a scale factor of .
Polygon H's area is what fraction of Polygon F's area?
Polygon H's area is what fraction of Polygon F's area?
A hexagonal pyramid has a volume of and a height of .
What is the area of the base of the pyramid?
What is the area of the base of the pyramid?
A triangular pyramid has a volume of and a height of .
What is the area of the base of the pyramid?
What is the area of the base of the pyramid?
Khan Academy ResourcesVolume formulas reviewVolume of a pyramid or coneVolume of composite figuresVolume and surface area of cylindersUse related volumesVolume of prisms and pyramidsApply volume of solidsDensity word problemsVolume of a sphereVolume of triangular prism & cubeCylinder volume & surface areaVolume of pyramids intuitionUsing related volumesVolume of a coneApplying volume of solidsVolumes of cones intuition

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