Higher January 2020 Paper 1 Q13
13 The diagram shows a solid cube.
The cube is placed on a table so that the whole of one face of the cube is in contact with the table.
Diagram NOT accurately drawn
The cube exerts a force of 56 newtons on the table.
The pressure on the table due to the cube is 0.14 newtons/cm²
\[\text{pressure} = \dfrac{\text{force}}{\text{area}}\]
Work out the volume of the cube.
(4)
| Scheme | Marks |
|---|---|
| \(0.14 = \dfrac{56}{w^2}\) oe or 56 ÷ 0.14 (= 400) | M1 |
| \(\sqrt{\dfrac{56}{0.14}}\) or \(\sqrt{\text{‘}400\text{’}}\) (= 20) | M1 |
| ‘20’ × ‘20’ × ‘20’ oe | M1 |
| 8000 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for using the given formula correctly
M1: for a method to find \(w\)
M1: (dep on M2) for a method to find the volume of the cube