Higher June 2025 Paper 1 Q7
7. Use:
\[\text{Pressure} = \frac{\text{Force (N)}}{\text{Area }(\text{cm}^2)}\]A cuboid rests on a horizontal floor.
The cuboid exerts a force of 6·2 newtons on the floor.
The pressure of this cuboid on the floor is 0·05 N/cm2.
The base of the cuboid in contact with the floor has a width of 8 cm.
Calculate the length of the base of the cuboid. [5]
| Scheme | Marks | Comments |
|---|---|---|
| (Area =) \(6{\cdot}2 \div 0{\cdot}05\) | M2 | M1 for \(0{\cdot}05 = 6{\cdot}2 \div \text{Area}\) |
| 124 (cm2) | A1 | CAO |
| (Length of cuboid =) \(124 \div 8\) | M1 | FT ‘their 124’ provided at least M1 previously awarded |
| 15·5 (cm) | A1 | FT |
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| \(0{\cdot}05 = \dfrac{6{\cdot}2}{8x}\) | M2 | M1 for \(0{\cdot}05 = 6{\cdot}2 \div 8x\) |
| \(0{\cdot}05\times8x = 6{\cdot}2\) | M1 | |
| \(x = 6{\cdot}2 \div (0{\cdot}05\times8)\) | m1 | |
| \(x = 15{\cdot}5\) (cm) | A1 | CAO |
| (5) |