HSG.GMD.A.3: Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Also written as G-GMD.3 or G.GMD.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Example Problems

A hexagonal pyramid has a volume of

300 \text{ cm}^3

and a height of

20 \text{ cm}

.
What is the area of the base of the pyramid?

A cylinder has a radius of

2

units and a volume of

56\pi

or 175.93 cubic units. What is the height of the cylinder?

A square pyramid has a base area of 27 square units and a volume of 180 cubic units. What is the height of the pyramid?

Khan Academy Resources

Volume formulas review Volume of a pyramid or cone Volume of composite figures Volume and surface area of cylinders Use related volumes Volume of prisms and pyramids Apply volume of solids Density word problems Volume of a sphere Volume of triangular prism & cube Cylinder volume & surface area Volume of pyramids intuition Using related volumes Volume of a cone Density word problem: blimp Applying volume of solids Volumes of cones intuition

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