Higher June 2022 Paper 2 Q9
9 A box in the shape of a cuboid is placed on a horizontal floor.
The box exerts a force of 180 newtons on the floor.
The box exerts a pressure of 187.5 newtons/m2 on the floor.
| \(\text{pressure} = \dfrac{\text{force}}{\text{area}}\) |
The face in contact with the floor is a rectangle of length 1.2 metres and width \(x\) metres.
Work out the value of \(x\). (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 0.8 | P1 | for process to find the area, eg \(187.5 = \dfrac{180}{A}\) or \(180 \div 187.5\ (= 0.96)\) or \(\dfrac{180}{1.2x} = 187.5\) or \(1.2x = \dfrac{180}{187.5}\) |
| P1 | for complete process to find width, eg \(\text{``}0.96\text{''} \div 1.2\) or \(180 \div 225\) | |
| A1 | cao |
Additional guidance
Ignore units for P marks only