Definition: A net is a flat, two-dimensional pattern that can be folded to make a three-dimensional solid, showing every face of the solid.
What is a net?
A net is what you get when you cut along the edges of a solid and lay all its faces flat. Fold it back and you rebuild the solid.
What do common nets look like?
- A cube: six squares joined in a cross or other valid arrangements.
- A triangular prism: two triangles and three rectangles.
- A square pyramid: one square and four triangles.
How do you use a net?
A net makes surface area easy. Label each face with its dimensions, compute each area, and add. For a triangular prism with triangle base 6 and height 4, and prism length 10, the triangles each have area 12, so 24 together. The rectangles depend on the triangle sides, say 5, 5, and 6, giving 50 + 50 + 60 = 160. Total: 184 square units.
How do you check a net?
Mentally fold it. Faces must not overlap, and each edge that meets should match in length.
What is a common mistake?
Choosing a flat layout that looks plausible but has overlapping faces when folded. A cube net, for example, cannot have four squares in a 2 by 2 block.