Correct: 0 / 52
Section 8.4 · Geometry and measure

3D shapes and nets

Name 3D shapes, count their faces, edges and vertices, and recognise their nets.

6 teaching slides 52 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

Teaching this in class? Open the presentation version.

Full-screen dark deck for the projector — bullets reveal one at a time, the videos for this section are built in, plus an interactive tool, quick check questions and speaker notes. One self-contained file: download it and it works with nothing else installed.

Open presentation ↗ All decks

2 · Key words

faceA flat surface of a solid.
edgeA line where two faces meet.
vertexA corner where edges meet; the plural is vertices.
netA flat shape that folds up into a solid.
prismA solid with the same cross-section all the way along.
pyramidA solid whose faces rise from a base to a single apex.
cross-sectionThe shape you see when a solid is sliced across.

3 · Summary of the sectionrevise from this

  • A face is a flat surface, an edge is where two faces meet, a vertex is a corner.
  • A net is the flat shape that folds up into the solid — a box cut open and laid out.
  • A prism has the same cross-section all the way along; a pyramid rises to a single apex.
  • A prism on an n-sided shape has n + 2 faces, 3n edges and 2n vertices.
  • A pyramid on an n-sided base has n + 1 faces, 2n edges and n + 1 vertices.
  • Euler's rule: faces + vertices − edges = 2 for any solid with flat faces and no holes.
  • Use Euler's rule as a check on every count you make.
  • A cube has eleven different nets — there is rarely only one right answer.
PDFPrintable worksheet All 52 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons1 videos

Math Antics - Volume

American stretchmathantics

Meets the same solids again, this time to measure them — preparation for Unit 15.

These players need an internet connection. Everything else on this site works offline.

4 · Practice52 questions, easiest first

Previous

8.3 Symmetry
Next

End-of-unit {UNUM} test