Pythagoras' Theorem/3D Shapes
Key Stage: 4 ★
Some cubes are truncated, and you are told some of the dimensions of the truncated cube. Can you work out the dimensions of the original cube?
This problem presents a series of three-dimensional challenges which encourage the learner to visualise a solid and then use two-dimensional representations to help them to reach a solution. On the way to a solution, there are opportunities to practise using trigonometry and Pythagoras, as well as formulas for volume.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 4 ★
Some cubes are truncated, and you are told some of the dimensions of the truncated cube. Can you work out the dimensions of the original cube?
This problem presents a series of three-dimensional challenges which encourage the learner to visualise a solid and then use two-dimensional representations to help them to reach a solution. On the way to a solution, there are opportunities to practise using trigonometry and Pythagoras, as well as formulas for volume.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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