GCSE · Geometry and measures
Folding cube and cuboid nets
Fold six connected faces into a box and keep track of matching areas.
Set the fold control to 0%, then 100%. Compare the face areas and total.
Scroll the diagram sideways to see every label.
| Face pair | Dimensions | Combined area |
|---|---|---|
| Base and lid | 4 × 3 cm | 24 cm² |
| Front and back | 4 × 2 cm | 16 cm² |
| Left and right | 3 × 2 cm | 12 cm² |
0% folded · total face area 52 cm².
- Base
- 12 cm²
- Front
- 8 cm²
- Back
- 8 cm²
- Left
- 6 cm²
- Right
- 6 cm²
- Lid
- 12 cm²
This is one valid cuboid net. At 100%, corresponding edges meet to make a closed cuboid. The drawing is an orthographic model; all face areas remain exact.
Predict, test and explain
Step 1 of 3
Predict
Does folding a net change its total area?
Explore and compare
Choose the investigation above. Predict what will change before you move a control.
Try it in the simulation. Change one thing at a time.
Notes and saved values stay in this tab. They disappear when you reload.
Hints, self-check and connections
Try a self-check
Fixed values, separate from the diagram controls.
Does folding a net change its total area?
Hint
Folding changes positions and angles, while each face keeps its dimensions and area.
Reveal answer
Folding changes positions and angles, while each face keeps its dimensions and area.
Build an explanation
Hint 1
Folding changes positions and angles, while each face keeps its dimensions and area.
Hint 2
Use the labels and units in the live model to check your method.
Hint 3
Explain which lengths, areas or volumes are being compared.
Worked example
This example uses fixed values, separate from the diagram controls.
Find the area of a net for a closed cuboid 5 cm by 3 cm by 2 cm.
- The three pairs of faces have areas 15, 10 and 6 cm².
- Include two of each face.
- Calculate 2 × (15 + 10 + 6).
Answer: 62 cm².
Connect this idea
Watch out: Folding changes positions and angles, while each face keeps its dimensions and area.