3D Shapes
Explore prisms, pyramids, cylinders, cones, and spheres
Start with the basics and progress through 2 lessons. Each lesson builds on the previous one.
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Test Your Knowledge
10 questions, new mix each time (from 32)
In This Topic (2 lessons)
Introduction to 3D Shapes
Learn the basics of three-dimensional shapes, their properties, and how to identify them in the world around you.
Prisms
Learn what prisms are, their properties, and how to calculate their volume and surface area.
Three-dimensional shapes exist all around us, from the rectangular prism of a cereal box to the sphere of a basketball to the cylinder of a soup can. Understanding 3D geometry involves recognizing these shapes, counting their faces, edges, and vertices, and eventually calculating their surface areas and volumes.
While 2D shapes have length and width, 3D shapes add depth, creating objects that occupy space. Learning to visualize, sketch, and analyze 3D shapes develops spatial reasoning skills essential for architecture, engineering, design, and many other fields. Understanding how 2D nets fold into 3D shapes builds geometric intuition.
What You'll Learn
- Identify common 3D shapes: prisms, pyramids, cylinders, cones, spheres
- Count faces, edges, and vertices of polyhedra
- Recognize nets that fold into specific 3D shapes
- Calculate surface area of prisms and cylinders
- Calculate volume of basic 3D shapes
Frequently Asked Questions
What is the difference between a prism and a pyramid?
A prism has two identical parallel bases connected by rectangular faces. A pyramid has one base with triangular faces meeting at a point (apex). A cube is a special prism; a tetrahedron is a special pyramid.
How do I remember the volume formulas?
Prisms and cylinders: V = Base × Height. Pyramids and cones: V = (1/3) × Base × Height. The 1/3 factor reflects that pyramids/cones are one-third of their prism/cylinder counterparts.
What is a net?
A net is a 2D pattern that can be folded to form a 3D shape. A cube has 11 different possible nets, all with 6 connected squares.