GCSE Maths Practice: pythagoras-theorem

Question 6 of 10

This question asks students to choose the correct formula for the space diagonal across a cuboid.

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\( \begin{array}{l}\text{Which formula would you use to find the space diagonal across a cuboid?}\end{array} \)

Choose one option:

Remember: 3D diagonal = √(length² + width² + height²).

For a cuboid, the space diagonal connects two opposite vertices. To calculate this distance, use the 3D Pythagoras formula: √(l² + w² + h²), where l, w, h are the cuboid's length, width, and height. This extends 2D triangle reasoning into three dimensions. Knowing this formula allows students to solve real-world problems like finding the longest distance inside boxes, rooms, or containers. Practising space diagonals improves visualization, 3D reasoning, and problem-solving skills required for GCSE and beyond.