1MA0 Foundation June 2016 Paper 1 Q19
19 The diagram shows a prism.

(a)
(i) Write down how many vertices the prism has.
(ii) Write down how many faces the prism has. (2)
The cross section of the prism is a regular hexagon.
(b) In the space below, sketch a net of the prism. (2)

Diagram NOT accurately drawn
The area of the cross section of the prism is 30 cm2.
The length of the prism is 25 cm.
(c) Work out the volume of the prism. (3)
| Answer | Mark | Notes |
|---|---|---|
| (i) 12 (ii) 8 | 2 | (i) B1 cao (ii) B1 cao |
| Answer | Mark | Notes |
|---|---|---|
| Sketch of net | 2 | M1 for attempt to draw net with 2 of the following 3 features: 6 rectangles 2 polygon faces with at least 5 edges a net with correct connections to give at least one vertex with 3 faces meeting. A1 for a correct net |
| Answer | Mark | Notes |
|---|---|---|
| 750 cm3 | 3 | M1 for \(30 \times 25\) A1 for 750 B1 (indep) for cm3 |