4MA0 Higher June 2016 Paper 3 Q15
15 The diagram shows two mathematically similar vases, A and B.
Diagram NOT accurately drawn
Vase A has a surface area of 120 cm²
Vase B has a surface area of 750 cm² and a volume of 1600 cm³
Work out the volume of vase A.
(3)
| Scheme | Marks |
|---|---|
| \(\sqrt{\dfrac{120}{750}} \left(= \dfrac{2}{5}\right)\) oe or \(\sqrt{\dfrac{750}{120}} \left(= \dfrac{5}{2}\right)\) oe or | M1 |
| \(0.4^3\) ( = 0.064) oe or \(2.5^3\) ( =15.625) oe | M1 |
| 102.4 | A1 |
| (3) |
Notes
M1: Correct linear scale factor
(accept ratios)
M1: or for \(1600 \div 6.25^3\) oe or
\(1600 \times 0.16^3\) oe