1MA0 Higher June 2017 Paper 2 Q16
*16 The diagram shows a swimming pool in the shape of a prism.
Diagram NOT accurately drawn
The swimming pool is empty.
Water from 3 water tankers is going to be put into the pool.
There are 20 000 litres of water in each water tanker.
Sam thinks that the surface of the water in the pool will be 10 cm below the top of the pool.
Is Sam correct?
You must show how you get your answer.
(1 m\(^3\) = 1000 litres) (5)
| Answer | Mark | Notes |
|---|---|---|
| No with correct calculations | 5 | M1 for splitting the cross section into separate areas and a method to find the area of one part OR for splitting up the pool into smaller prisms and a method to find the volume of one prism, e.g. a cuboid M1 (dep) for a complete method to find the cross-sectional area OR for a method to find the volume of more than one prism M1 (dep) for a complete method to find the vol of the pool (= 70 (m\(^3\))) OR for a complete method to find the depth of 60000L of water M1 for method to find figure for comparison, eg distance between surface and top of pool \((\text{``}70\text{''} - \text{``}60\text{''}) \div (5 \times 10)\) C1 No, with correct calculations, eg water level is 20cm below top of pool |