Foundation January 2019 Paper 2R Q16
16 The diagram shows two solid toy bricks, Brick A and Brick B.
Diagram NOT accurately drawn
Brick A is a triangular prism of length 5 cm.
The cross section of Brick A is an isosceles right-angled triangle with equal sides of length 6 cm.
Brick B is half a cylinder of length 5 cm.
The semicircular cross section of Brick B has diameter 6 cm.
The volume of Brick A is greater than the volume of Brick B.
How much greater?
Give your answer correct to 1 decimal place.
(4)
| Scheme | Marks |
|---|---|
| 0.5 × 6 × 6 × 5 (= 90) | M1 |
| 0.5 × \(\pi\) × 3² × 5 (=22.5\(\pi\) = 70.6858...) or \(\pi\) × 3² × 5 (=45\(\pi\) = 141.37166...) | M1 |
| ‘90’ – ‘70.6858.....’ | M1 |
| 19.3 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: Correct method for volume of A
M1: Correct method for volume of B or correct volume of cylinder
M1: Correct method to find the difference in the volume
A1: 19 – 19.4