Tricube Constructions A

Task 77 ... Years 4 - 8


Students are shown a looking down view of a 'building' they know is made from all four Tricubes. From this they are asked to construct the 'buildings' and draw them isometrically.

Tricube Constructions A also appears on the Picture Puzzles Shape & Space A menu where the problem is presented using one screen, two learners, concrete materials and a challenge. In this context it is called Tricube Building A.




  • 3D spatial perception
  • isometric drawing
  • plan (or aerial) view
  • problem solving
Tricube Constructions A


A task is the tip of a learning iceberg. There is always more to a task than is recorded on the card.

To solve parts (d) and (e), it may be necessary to explore the idea that a two storey building is not necessarily two layers high all over. If so, ask the students to place a Tricube so it stands up as an L-shape. If they were standing on the ground outside this building they would say it was two storeys high, even though it is not so all over. With this in mind, the answers are:

Part A

Part B

Part C
(2 ways)

Part D

Part E

To some extent this task card already expresses the iceberg. There are many ways to make a building from four Tricubes and Question 2 encourages students to find their own. However you could also ask students to draw the front and side views to go with each top view on the card and each building of their own. Further, given one 'building' on the card has more than one answer, perhaps there are others.

Whole Class Investigation

Tasks are an invitation for two students to work like a mathematician. Tasks can also be modified to become whole class investigations which model how a mathematician works.

If you want the whole class to work on this investigation simultaneously, you will need a class set of Tricubes. These can be purchased (see Tasks, Kits & Resources) or making them in art or woodwork class could be a cross-faculty project. If you don't have a class set, you could use this task in a work station, probably with other spatial tasks, and rotate students through the station over a period of time. Keep a class scrap book at the work station in which each group records its new puzzle as suggested above.

At this stage, Tricube Constructions A does not have a matching lesson on Maths300.

Is it in Maths With Attitude?

Maths With Attitude is a set of hands-on learning kits available from Years 3-10 which structure the use of tasks and whole class investigations into a week by week planner.

Tricube Constructions A is not in any Maths With Attitude kit, however, it is included as a key component of the Mixed Media Unit titled Points of View: Representing 3D Objects in 2D.

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