Higher January 2019 Paper 2 Q16
16 The diagram shows two mathematically similar vases, A and B.
Diagram NOT accurately drawn
A has a volume of 405 cm3
B has a volume of 960 cm3
B has a surface area of 928 cm2
Work out the surface area of A.
(3)
| Scheme | Marks |
|---|---|
| e.g. \(\sqrt[3]{\dfrac{960}{405}}\left(= \dfrac{4}{3}\right)\) (=1.3...) or \(\sqrt[3]{\dfrac{405}{960}}\left(= \dfrac{3}{4}\right)\) (=0.75) | M1 |
| \(\left(\dfrac{3}{4}\right)^2 \times 928\) or \(928 \div \left(\dfrac{4}{3}\right)^2\) oe | M1 |
| 522 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a correct linear scale factor
M1: for a complete method