Higher June 2023 Unit 2 Q14
14. The cube shown below has a volume of 10 648 cm3.
Diagram not drawn to scale
Calculate the length of the internal diagonal AB. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Sight of 22(cm) OR \(\sqrt[3]{10648}\) (cm) | B1 | |
| √(222+222+222) OR √(1452) | M2 | FT ‘their 22’ for M2. May be seen in stages. (If the answer is completed in stages, then any arithmetic errors in intermediate answers can be ignored, allowing for a FT for the M marks). M1 for 222+222+222 (=1452) |
| = 38·1(…cm) OR 22√3(cm) OR a value that rounds to 38·1(cm), e.g. 38·09(cm) | A1 | CAO. Allow 38(cm) from correct working provided their answer would round to 38·1. |