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Primary 6 · Solids · Question type 10.1

P6 Solids: Nets of a Cube

On a folded cube, a face touches 4 others along an edge and is opposite the one face left over.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Solids chapter4 question types · see the chapter

The lesson · 3 minutes 49 seconds

How do you identify nets of a cube in P6?

Watch: six lettered squares folded into a cube, and the face that ends up opposite L

Another worked example

A worked example

The figure below is made of 7 squares lettered A to G. If one square is removed, the rest folds into a cube. Which square must be removed?

The working · Six lines

The step-by-step working

Written out in full, the way it should appear on paper.

  1. a cube has 6 faces, so a net of a cube has 6 squares
  2. squares drawn = 7, so exactly 1 square is extra
  3. B, C, D, E and F make a row of 5, and a row of 5 wrapped round a cube brings the 5th square back onto the 1st
  4. so the row must come down to 4, and the extra square is B or F
  5. removing B would leave A joined to nothing, so the figure would fall into two pieces
  6. removing F leaves a row of 4 with A above one end and G below the middle, on opposite sides, so the rest folds into a cube

The answer is Square F.

Practise · Modelled on top school exam questions

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Try it yourself

Count the faces of a pyramid

Count the square base and the triangular faces.

The figure below shows a pyramid. Its bottom face is a square, and all its other faces are triangles that meet at one point at the top. How many faces does the pyramid have altogether?

Show the step-by-step solution
  1. sides of the square bottom face = 4
  2. one triangle stands on each side, so triangular faces = 4
  3. faces = 4 + 1 = 5

Ans: 5

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Next, compare the front and side views of a solid made of unit cubes. Exposed Faces of Joined Cubes →

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