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Association of Teachers of Mathematics
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Cuboids and Surface Area
This activity is from the Association of Teachers of Mathematics (ATM) publication ‘Learning and Teaching Without a Textbook’
Cuboids and surface area starts by suggesting two students sit back to back. One builds a 3D shape using multi-link cubes and describes the shape to their partner. The partner has to build the shape from their partner’s description.
The main task requires students to work systematically in order to investigate how many cuboids can be made from twenty four cubes. Once complete, students proceed to explore the relationship between the volume of the cuboid and its surface area.
Further problems are suggested such as generating sequences by investigating the surface areas of cuboids of the form 1 by 1 by n.
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