4400 Higher June 2010 Paper 3 Q17
17
Diagram NOT accurately drawn
Two prisms, P and Q, are similar.
The cross-section of prism P is a triangle with a base of length 12 cm.
The cross-section of prism Q is a triangle with a base of length 18 cm.
The total surface area of prism P is 544 cm2.
Calculate the total surface area of prism Q.
(3)
| Scheme | Marks |
|---|---|
| \(\dfrac{18}{12}\) or 1.5 oe or 18 : 12 oe | M1 |
| \(544 \times 1.5^2\) | M1 |
| 1224 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for \(\dfrac{18}{12}\) or 1.5 oe or 18 : 12 oe
Also award for \(\dfrac{12}{18}\) or \(\dfrac{2}{3}\) or 12 : 18 oe
M1: for \(1.5^2\) or 2.25 or \(\frac{9}{4}\) or 9 : 4 oe
Also award for \(\left(\frac{2}{3}\right)^2\) or \(\frac{4}{9}\) or 4 : 9 oe
A1: cao