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Maths

Stretch – Counting Cubes & 3-D Views

Stretch (universal 11+): count cubes in a 3-D stack, including hidden ones, and match a stack to its plan, front and side views.

MathsAge 11+25 minutes

What this topic covers

  • Count cubes in a stack systematically, layer by layer, including hidden cubes.
  • Draw or identify the plan, front and side views of a cube stack.
  • Reason about the minimum and maximum cubes consistent with a view.

Core concept summaries

Key ConceptsLayer by LayerPlan, Front and SideHidden Cubes and the Minimum; the Visible Trap

Practice formats pupils may meet

NeurofiED uses varied practice to help pupils apply the idea actively, check understanding and build confidence over time.

clozematchingquiz

Example quiz question

A stack has a 3 by 3 bottom layer and 4 cubes in the second layer. Total?

  1. 12
  2. 9
  3. 4
  4. 13
Show the answer

Answer: D. 13

9 + 4.