4MA0 Higher January 2014 Paper 4R Q19

EdexcelHigherOld spec4 marksUpper & Lower Bounds

Cuboid sandpit with a square base of side x m and depth 0.18 m

Diagram NOT accurately drawn

Trena wants to build a sandpit in the shape of a cuboid.
The volume of sand in the sandpit will be 1.0 m³, correct to 1 decimal place.
The depth of sand in the sandpit will be 0.18 metres, correct to 2 decimal places.
The sandpit will have a square base with sides of length \(x\) metres.

Find the upper bound for \(x\)
Give your answer correct to 3 significant figures.

(4)

Mark scheme

Scheme	Marks
1.05 selected	B1
0.175 selected	B1
\(\sqrt{\dfrac{1.05}{0.175}}\) oe	M1
2.45	A1
	(4)
	(4 marks)

Notes

M1: Allow \(\sqrt{6}\) or “\(x\)”\(^2\) = 6 or 6 (from 1.05 ÷ 0.175)

A1: (2.44948) awrt 2.45 dependent on M1

The mark scheme states that for this question the correct answer alone does not imply a correct method.