Higher June 2024 Paper 5 Q16
16 Two prisms, A and B, are mathematically similar.
The ratio of the volume of prism A to the volume of prism B is 8 : 27.
The height of prism A is 6 cm.
Work out the height of prism B. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 9 nfww | 3 | M2 for \(\frac{6}{\sqrt[3]{8}} \times \sqrt[3]{27}\) oe or M1 for \(\sqrt[3]{8} : \sqrt[3]{27}\) soi or for \(\frac{8}{27} = \frac{6^3}{x^3}\) oe or better | M2 implied by ratio 6 : 9 or 9 : 6 M1 accept in any order, e.g. 3 : 2 oe accept as fraction e.g. \(\frac{2}{3}\) oe or \(\frac{3}{2}\) oe |