GCSE Maths Practice: pythagoras-theorem

Question 1 of 10

This question asks for the diagonal across the base of a cuboid using Pythagoras' Theorem in 2D.

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\( \begin{array}{l}\text{A cuboid has a base 6 cm by 8 cm.}\\ \text{Find the diagonal across the base.}\end{array} \)

Choose one option:

For rectangle bases, diagonal = √(length² + width²).

For a cuboid with base dimensions 6 cm and 8 cm, the diagonal can be found by treating the base as a right-angled triangle. Apply Pythagoras' Theorem: 6^2 + 8^2 = 36 + 64 = 100, then √100 = 10 cm. Understanding 2D diagonals is a step towards solving 3D space diagonals. Practising these problems helps students visualize geometric relationships, apply the theorem correctly, and develop problem-solving skills essential for GCSE mathematics.