Cross Sections and Solids of Rotation
Related Topics:
Common Core (Geometry)
Common Core for Mathematics
Videos, examples, solutions, and lessons to help High School students learn how to identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Common Core: HSG-GMD.B.4
The following figures show some solids of rotation: cone, cylinder, frustum, sphere. Scroll down the page for more examples and solutions.
Geometry Cross sections
Examples:
What is the shape of the cross section of each of the following figures?
Solids of rotation (Solids in 3D)
Rotate a triangle to get a cone.
Rotate a rectangle to get a cylinder
Rotate a trapezium to get frustum
Rotate a circle (semi-circle) to get a sphere.
Solids of rotation
A solid of rotation is the three-dimensional (solid) object formed by rotating a two-dimensional area around an axis.
For animations to explore the shapes of two-dimensional cross-sections of three-dimensional objects and identify three-dimensional objects generated by rotations of two-dimensional objects, see: Cross Section and Rotation Animations
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.