Geometry

Study of shapes, sizes, properties of space, and geometric relationships.

Points, Lines, and AnglesPolygons and CirclesPerimeter, Area, and Volume
Transformations and SymmetryCoordinate GeometrySolid Geometry
Geometry in Art and DesignGeometry in SportsGeometry in Construction and Engineering
Drawing and VisualizingChecking with Formulas
Points, Lines, and A...Polygons and CirclesPerimeter, Area, and...Transformations and ...Coordinate GeometrySolid GeometryGeometry in Art and ...Geometry in SportsGeometry in Construc...Drawing and Visualiz...Checking with Formul...
Advanced Topics

Solid Geometry

Exploring 3D Shapes

Solid geometry is all about three-dimensional objects—shapes that have length, width, and height.

Common 3D Shapes

  • Cube: All sides are squares of equal size.
  • Rectangular Prism: Like a box; opposite faces are equal rectangles.
  • Sphere: Perfectly round, like a basketball.
  • Cylinder: Has two parallel circles and a curved surface.
  • Pyramid: Base is a polygon; sides are triangles meeting at a point.
  • Cone: A circular base with a pointy tip.

Surface Area and Volume

  • Surface Area: The total area of all faces of a 3D object.
  • Volume: The space inside.

Why Learn This?

Solid geometry is used in architecture, packaging, and even in video game design!

Fun Connection

If you’ve put together a cardboard box, you’ve used solid geometry!

Examples

  • Calculating how much paint to cover a box.

  • Designing a soda can (a cylinder) for maximum volume.

In a Nutshell

Solid geometry studies 3D shapes and their properties.

Key Terms

Surface Area
The sum of the areas of all faces on a 3D object.
Volume
The measure of space inside a 3D object.
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Geometry in Art and Design