4MA0 Foundation January 2014 Paper 2 Q14
14
Diagram NOT accurately drawn
The diagram shows a solid prism.
The cross section of the prism is a trapezium.
The lengths of the parallel sides of the trapezium are 11 cm and 7 cm.
The perpendicular distance between the parallel sides of the trapezium is 10 cm.
The length of the prism is 12 cm.
(a) How many faces has this prism? (1)
(b) How many vertices has this prism? (1)
(c) Work out the area of the trapezium. (2)
(d) Work out the volume of the prism. (2)
| Scheme | Marks |
|---|---|
| 6 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 8 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 0.5 × (11 + 7) × 10 | M1 |
| 90 | A1 |
| (2) |
Notes
M1: M1 for (0.5 × 2 × 10) + (7 × 10) + (0.5 × 2 × 10)
| Scheme | Marks |
|---|---|
| “90” × 12 | M1ft |
| 1080 | A1ft |
| (2) | |
| (Total 6 marks) |
Notes
M1ft: Their area in (c) × 12