Higher November 2020 Paper 2 Q9
9 Here is a cuboid.
(a) Assume that the total surface area of the cuboid is 200 cm\(^2\)
Work out the volume of the cuboid. [3 marks]
(b) In fact, the total surface area of the cuboid is smaller than 200 cm\(^2\)
What does this mean about the volume of the cuboid?
Tick one box. [1 mark]
- It is smaller than the answer to part (a)
- It is bigger than the answer to part (a)
- It is the same as the answer to part (a)
- It could be any of the above
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(200 - 2 \times 5 \times 5\) or \(200 - 50\) or 150 or \(4 \times 5 \times y\) or \(20y\) | M1 | oe eg \(5y + 5y + 5y + 5y\) implied by 37.5 or answer 937.5 |
| \(4 \times 5 \times y = 200 - 2 \times 5 \times 5\) or \(4 \times 5 \times y = 200 - 50\) or \(4 \times 5 \times y = 150\) or \(150 \div 4 \div 5\) or \(150 \div 20\) or 7.5 | M1dep | oe eg \(20y = 150\) |
| 187.5 | A1 | oe |
| Alternative method 2 | ||
| \(200 - 2 \times 5 \times 5\) or \(200 - 50\) or 150 | M1 | oe implied by 37.5 or answer 937.5 |
| \(150 \div 4 \times 5\) or \(37.5 \times 5\) | M1dep | oe |
| 187.5 | A1 | oe |
Additional guidance
| Embedded 7.5 eg \(4 \times 5 \times 7.5 = 150\) | M1M1 |
| Answer | Mark | Comments |
|---|---|---|
| It is smaller than the answer to part (a) | B1 |