Higher June 2019 Paper 1R Q12
12
\[\text{pressure} = \dfrac{\text{force}}{\text{area}}\]A box, in the shape of a cuboid, is going to be put on a table.
The whole of one face of the box will be in contact with the table.
The force exerted by the box on the table is always 105 newtons.
The box is 5 m by 4 m by 3 m.
The greatest pressure exerted by the box on the table is \(P\) newtons/m2
The least pressure exerted by the box on the table is \(Q\) newtons/m2
Work out the value of \(P - Q\)
(3)
| Scheme | Marks |
|---|---|
| 105 ÷ (5 × 4) (=5.25) oe or 105 ÷ (4 × 3) (=8.75) oe or 105 ÷ (3 × 5) (=7) | M1 |
| “8.75” − “5.25” | M1 |
| 3.5 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: dep on previous M1. If M1 gained and they have worked out 3 pressures, award M1 for their highest minus their lowest.
A1: oe