Higher November 2022 Paper 5 Q20
20 Kai has a box in the shape of a cuboid.
The internal dimensions of the box are 10 cm by 4 cm by 6 cm.
Kai is given a pencil of length 13 cm.
Show that the pencil does not fit completely inside the box. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(10^2 + 6^2 + 4^2\) oe or better | M2 | M1 for \(10^2 + 6^2\) or \(6^2 + 4^2\) or \(10^2 + 4^2\) all oe or better | M1 implied by 136, 52, or 116 |
| 152 oe or better | A1 | eg \(\sqrt{152}\) | |
| Does not fit and \(13^2\) = 169 or \(\sqrt{152}\) lies between 12 and 13 oe | A1 | Dep on M2A1 | Accept No and \(\sqrt{152}\) is less than 13 or No and \(\sqrt{152}\) = 12. […] |