Higher June 2019 Paper 2R Q21

EdexcelHigherCurrent spec3 marksSimilar Shapes

21 The diagram shows two similar bottles, A and B.

Diagram NOT accurately drawn

Bottle A has surface area 240 cm²
Bottle B has surface area 540 cm² and volume 2025 cm³
Work out the volume of bottle A.

(3)

Mark scheme

Scheme	Marks
(LSF =) \(\sqrt{240 \div 540}\) or \(\dfrac{2}{3}\) or \(\dfrac{3}{2}\) or 1.5 or 3 : 2 or 2 : 3	M1
\(\left(\dfrac{2}{3}\right)^3 \times 2025\) oe accept 0.66 or better for 2/3	M1
600	A1
	(3)
	(3 marks)

M1: Full method leading to correct answer