Higher November 2018 Unit 2 Q14
14. The diagram below shows a cuboid with \(HG\) = 3 cm, \(AE\) = 5 cm and \(EH\) = 7 cm.
Diagram not drawn to scale
Calculate the length of the line \(AG\).
Give your answer correct to 2 decimal places. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Attempt to find a [face diagonal]2. | S1 | E.g. \(3^2 + 5^2 = 34\) OR \(3^2 + 7^2 = 58\) OR \(5^2 + 7^2 = 74\) |
| \(\sqrt{3^2 + 5^2 + 7^2}\,(= \sqrt{83})\) | M2 | M1 for \(3^2 + 5^2 + 7^2\). May be seen in stages. This mark implies S1. |
| = 9.11(cm) | A1 | CAO (must be correct to 2 decimal places). Unsupported answer of \(\sqrt{83}\) gains S1 M2 A0. |