Higher November 2020 Paper 1 Q20
20 R and S are two similar solid shapes.
Shape R has surface area 108 cm2 and volume 135 cm3
Shape S has surface area 300 cm2
Work out the volume of shape S.
(3)
| Scheme | Marks |
|---|---|
\(\sqrt{\dfrac{300}{108}}\) or \(\sqrt{\dfrac{108}{300}}\) or \(\sqrt{\dfrac{25}{9}}\) oe or \(\sqrt{\dfrac{9}{25}}\) oe or \(\left(\dfrac{300}{108}\right)^3 = \left(\dfrac{V}{135}\right)^2\) oe | M1 |
\(135 \times \left(\sqrt{\dfrac{300}{108}}\right)^3\) oe or \(\sqrt{\dfrac{300^3}{108^3} \times 135^2}\) or \(\sqrt{390625}\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 625 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for a correct linear scale factor (fraction or ratio) or
for the use of \(\left(\dfrac{A_1}{A_2}\right)^3 = \left(\dfrac{V_1}{V_2}\right)^2\)