Foundation June 2018 Paper 2 Q26
26 Here is a triangular prism.
Work out the volume of the prism.
Give your answer correct to 3 significant figures. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 280 | P1 | for starting to use Pythagoras to find the missing side eg \(8.4^2 - 7.2^2\ (= 18.72)\) |
| P1 | for a complete process to find the missing side eg \(\sqrt{70.56 - 51.84}\) or \(\sqrt{18.72}\) (=4.32....) | |
| P1 | (dep P1) for a process to find the area of the triangular face eg ([length of base] \(\times\ 7.2) \div 2\) (=15.57..) OR the volume of the cuboid eg [length of base] \(\times\ 7.2 \times 18\) (=560.7..) | |
| P1 | for a complete process to find the volume of the prism eg \(\text{``}15.5..\text{''} \times 18\) or \(\text{``}560.7..\text{''} \div 2\) | |
| A1 | answer in the range 278 – 281 |
Additional guidance
Award P1 for a correct Pythagorean statement eg \(x^2 + 7.2^2 = 8.4^2\)
4.3 truncated or rounded can imply P2
Uses a figure they show as the length of the base of the right angled triangle but dep on P1
Allow 15.57.. truncated or rounded if unsupported
If an answer is given in the range 278 to 281 but then incorrectly given to 3 sig fig this mark can still be awarded.