Numeracy Intermediate June 2025 Unit 1 Q14
14. A solid triangular prism is placed along the bottom of a door to stop draughts.
The length of the triangular prism is equal to the width of the door.
The triangular prism is shown below.
Diagram not drawn to scale
The volume of the triangular prism is 546 cm3.
Calculate the width of the door.
You must show all your working. [3]
From the formula list: Volume of prism = area of cross-section × length
| Scheme | Marks | Comments |
|---|---|---|
| (Width of the door) 546 ÷ (½ × 3 × 4) | M2 | M1 for the area of the cross-section ½ × 3 × 4 (= 6) |
| 91 (cm) | A1 | CAO. Mark final answer If no marks, award SC2 for (546 ÷ (3 × 4) =) 45.5 (cm) or SC1 for 546 ÷ (3 × 4) |