Higher November 2024 Paper 2 Q6
6 The diagram shows a solid triangular prism.
Diagram NOT accurately drawn
Work out the total surface area of the triangular prism.
(3)
| Scheme | Marks |
|---|---|
| 8 × 6 (= 48) 0.5 × 8 × 6 (= 24 ) 15 × 8 (= 120) 15 × 6 (= 90) 15 × 10 (= 150) | M1 |
| 0.5 × 8 × 6 (= 24 ) (× 2 (= 48) ) oe 15 × 8 (= 120) 15 × 6 (= 90) 15 × 10 (= 150) (measurements with intention to add for the 2nd M mark) Surface area = “120” + “90” + “150” + “24” + “24” [allow “120” + “90” + “150” + “48” + “48”] | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 408 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: For a correct method to find the areas of 2 different faces (ie not 2 triangles)
allow 8 × 6 as one area
(allow with incorrect areas for this mark)
M1: for adding together 4 or 5 values for area (condone 48 as 1 or 2 areas) at least 3 of which are from a correct method
NB: (6 + 8 + 10) × 15 (sum must be seen) is 3 faces but only award this if clearly not intended to be the volume – eg by the addition of the area of a triangular end.
A1: cao
SCB2 for an answer of 456 if no other marks awarded