# Pythagoras’ Theorem in 3D

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in 3D shapes.  As learning progresses they are challenged to find lengths in composite shapes involving square based pyramids and cuboids.At the start of the lesson students recap applying Pythagoras' Theorem to the perimeter of 2D shapes.  The plenary challenges students to calculate the perpendicular height of a composite shape.
##### Differentiated Learning Objectives
• All students should be able to calculate the long diagonal in a cuboid using Pythagoras’ Theorem.
• Most students should be able to apply Pythagoras’ Theorem to calculate unknown lengths in 3D shapes.
• Some students should be able to derive the formula for the longest length of a cuboid using Pythagoras’ Theorem
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