Higher November 2022 Paper 3 Q14
14 Here are two solid cubes, X and Y.
The mass of X is 10.976 kg
The area of each face of X is 784 cm2
(a) Zayan wants to know the density of Y.
He assumes that Y is identical to X.
What density should he get for Y?
Give your answer in grams per cubic centimetre. [4 marks]
(b) In fact,
the mass of Y is less than the mass of X
the area of each face of Y is greater than the area of each face of X.
What does this mean about the actual density of Y?
Tick one box. [1 mark]
- It is less than the answer to part (a)
- It is equal to the answer to part (a)
- It is greater than the answer to part (a)
- It is not possible to tell
| Answer | Mark | Comments |
|---|---|---|
| \(\sqrt{784}\) or 28 | M1 | |
| (their \(28)^3\) or 21 952 | M1dep | 21 952 implies M1M1 |
| \(10.976 \div\) their 21 952 or 0.0005 or digits 10 976 \(\div\) their 21 952 | M1dep | oe eg \(5 \times 10^{-4}\) eg \(1097.6 \div\) their 21 952 |
| 0.5 | A1 | oe |
Additional guidance
| \(784 \times 6\) or \(784 \div 6\) or \(784 \div 2\) | M0M0M0A0 |
| Answer | Mark | Comments |
|---|---|---|
| It is less than the answer to part (a) | B1 |