Higher November 2023 Paper 3 Q8
8 The diagram shows a solid cube placed on a horizontal table.
The pressure on the table due to the cube is 3.5 newtons/cm2
The force exerted by the cube on the table is 504 newtons.
Show that the total surface area of the cube is less than 900 cm2 (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for substitution to find area of face, eg \(3.5 = \dfrac{504}{\text{area}}\) or \(3.5 \times \text{area} = 504\) or \(\text{area} = 504 \div 3.5\ (= 144)\) or for working from surface area eg \(900 \div 6\ (= 150)\) |
| M1 | for method to find comparable figures, eg \(\text{``}144\text{''} \times 6\ (= 864)\) or \(\text{``}150\text{''} \times 3.5\ (= 525)\) or \(504 \div \text{``}150\text{''}\ (= 3.36\ldots)\) or for \(504 \div 3.5\ (= 144)\) and \(900 \div 6\ (= 150)\) or for \(900 \div 144\ (= 6.25)\) and 6 | |
| C1 | for correct comparable figures, eg 864 (and 900) or 144 and 150 or 525 (and 504) or 3.36… (and 3.5) or 6.25 and 6 |
Additional guidance
Other equivalent methods should be credited accordingly
Condone incorrect units given.