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Nets of 3-D shapes

Mathematics · Geometry · ages 8-11

Name ______________________ Date ____________

A cuboid net has its top and bottom panels. How many more panels cover its sides?
Answer: ______________
You need one face panel to match the other faces of a cube. Which panel fits?
- A square half their size
- A rectangle twice as long
- A square the same size
- A triangle with equal sides
What do we call the flat shape that folds up to make a 3-D shape?
- A net
- A face
- An edge
A triangular prism's net is made only of triangles.
Circle one: True False
After a triangular-prism net folds, how many rectangular faces meet each triangular end?
Answer: ______________
After careful folding, two edges that should join leave a gap. What can you conclude about the folded pattern?
- It is closed even with that opening
- It is not a closed solid
- It must need fewer faces, whatever their positions
Where must the two triangular faces end up when a triangular-prism net folds?
- Together at one end of the prism
- Across two long side faces
- Inside the prism beneath a rectangle
- At the two opposite ends
In a working net laid flat, two face panels may lie on top of each other.
Circle one: True False
Three patterns use six squares each. Another uses five squares and a triangle. Which can you rule out as a cube net using face shapes alone?
- The pattern containing a triangle
- All three patterns containing only squares
- None: any six face shapes can make a cube
A cuboid net has a 2 cm by 5 cm face. What is the longer side length of its matching opposite face, in centimetres?
Answer: ______________

Answer key

For grown-ups. Fold this page away before handing over the rest.

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4 · The remaining faces are front, back, left and right: four panels.
A square the same size · Cube faces match in both shape and size.
A net · A net is the flat pattern of a 3-D shape before it gets folded up.
False · A triangular prism's net has two triangles for the ends and three rectangles for the sides in between.
3 · Each triangular end has three edges, and each edge meets one rectangular face.
It is not a closed solid · The gap is an opening. The pattern does not form a closed solid while that gap remains.
At the two opposite ends · The triangles close opposite ends. Rectangles connect those ends.
False · The flat pattern lays the face panels out without overlap.
The pattern containing a triangle · A cube has no triangular face. The square-only patterns still need their sizes and positions checked.
5 · The opposite face also measures 2 cm by 5 cm. Its longer side is 5 cm.