[Figure 1] shows an open tank in the shape of a triangular prism. The vertical ends ABE and DCF are identical isosceles triangles. Angle ABE = angle BAE = 30°. The length of AD is 40 cm. The tank is fixed in position with the open top ABCD horizontal. Water is poured into the tank at a constant rate of 200 cm³ s⁻¹. The depth of water, t seconds after filling starts, is h cm (see [Figure 2]).

Q: What topic does this question test?

This question tests Differentiation in A-Level Mathematics (syllabus code 9709). It is worth 6 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2015 examination, Paper 1 Variant 2 (9709_w15_qp_12.pdf).

Question

[Figure 1] shows an open tank in the shape of a triangular prism. The vertical ends ABE and DCF are identical isosceles triangles. Angle ABE = angle BAE = 30°. The length of AD is 40 cm. The tank is fixed in position with the open top ABCD horizontal. Water is poured into the tank at a constant rate of 200 cm³ s⁻¹. The depth of water, t seconds after filling starts, is h cm (see [Figure 2]).

Oracle Prep · Accepted Answer

Sign up to Oracle Prep to view the full model answer with examiner insights.

📋 Examiner Report & Trap Analysis

🎯 Mark Scheme Breakdown

Unlock the Examiner's Analysis

About This A-Level Mathematics Question

Topic

Source

Practice on Oracle Prep

Related Mathematics Questions