Learn about platonic solids, a special type of polyhedra. Read a definition, make three-dimensional models using printouts, and play with an interactive animation, which will show you the faces, vertices, and edges on platonic solids:...

A Platonic solid is a polyhedron made up of only one kind of regular polygon, that looks the same from every direction. (In other words, the same number of faces meet at every vertex.) There are only five different Platonic solids:...

This is a hands-on activity that introduces students to the five Platonic solids. Students will discover the special relationship between faces, vertices, and edges. Students will research the Platonic solids and then construct and...

The Shodor Education Foundation provides this lesson plan to give students an opportunity to connect probabilty and geometry. Students learn how to calculate probability, use geometry to solve probabilty problems, and, as an added bonus,...

Provides a list of area and perimeter formulas for two-dimensional shapes and volume and surface area formulas for three-dimensional solids.

This lesson focuses on polyhedra; a polyhedron (the plural is polyhedra) is a 3-dimensional solid object that is made up of polygons. Euler's Polyhedron Formula: In every polyhedron, the number of faces (F) plus the number of vertices...

The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...

Explore connections between a 2-dimensional net and a 3-dimensional box. Later in this section, use equations with variables to solve real world problems that use 2 and 3-dimensional objects.

An interactive game to find number of edges, surfaces and vertices of different geometric shapes.

[Free Registration/Login Required] In this lesson, students use the geometry program GeoGebra to explore Cavalieri's Principle, specifically to investigate whether it applies when calculating the volume of oblique solids. Lesson includes...

Creating their own building is a hands-on, minds-on way for students to explore how polygons create 3D solids.

Use this calculator to calculate unknown variables for a cube such as a side length, face diagonal, solid diagonal, surface area, and volume.

Get your spy glasses ready! In this weeklong adventure, children will explore shapes and their attributes and use this knowledge to decode a secret message. Children will learn about two-dimensional (flat) and three-dimensional (solid)...

This lesson offers an interesting, hands-on experience for middle school students studying cylinders. Students will create cylinders, and measure and compare their volumes.

[Free Registration/Login Required] In this lesson, young scholars build geometric models of graduation caps using stiff paper. The activity requires the application of skills in finding surface area, understanding similarity, knowing the...

Online calculator to calculate the surface area of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere, spherical cap, and triangular prism

This site gives formulas for the area, volume, and surface area of various shapes.

This tutorial explains the concept of surface area, and then goes through multiple shapes offering the specific surface area formula for each one.

In this exploration, students will apply their knowledge of finding volume and surface area of cylinders and rectangular prisms. Students will make recommendations to the local movie theater after determining which package is cost...

In this lesson, students will be required to generate a formula for volume of a rectangular prism. Students working in cooperative groups will use prior knowledge for finding area of a rectangle to determine the "amount of area in a...

Use this calculator to determine the volume, surface area, or other figure for a square pyramid, given the other numbers. Users set their parameters for two known variables of the pyramid and find what the unknown amounts would be.

This online calculator will calculate the various properties of a square pyramid given 2 known variables. The square pyramid is a special case of a pyramid where the base is square. It is a regular pyramid with a square base.

This online calculator will calculate the various properties of a conical frustum given the 2 radii and any 1 other known variable.

This online calculator will calculate the various properties of a cylinder given 2 known values. It will also calculate those properties in terms of PI.