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Take Ten

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube?

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Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

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Cut Nets

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Lighting up Time

Stage: 2 and 3 Challenge Level: Challenge Level:1

Mary photographed this lampshade in Thailand, and keeps meaning to figure out how to make it.
Can you advise her?

Thai lampshade