Higher November 2017 Paper 1 Q17
17 A and B are similar solids.
| Solid | length (cm) |
|---|---|
| A | \(l\) |
| B | \(2l\) |
Alex says,
“The volume of B is double the volume of A
because the length of B is double the length of A.”
Is he correct?
Tick a box.
- Yes
- No
Give a reason for your answer. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Ticks No and gives correct reason or ticks No and gives numerical counter-example for any solid | B1 | eg1 (volume of) A is 8 times bigger eg2 (volume) sf \(= 2^3\) eg3 if A and B are cubes and \(l = 3\), volume of A = 27 volume of B = 216 216 is not \(27 \times 2\) |
Additional guidance
| Condone \(8l^3\) | B1 |
| No, as the height/width is (also) doubled/different | B1 |
| No, as the length/volume is cubed | B0 |
| No, volume is \(l^3\) | B0 |
| No, as the height could be different | B0 |
| No, it would be 3 times as big | B0 |
| Doubling the length doesn’t double the volume | B0 |