# The table below gives the depth of water across a river measured at one metre intervals between ...

The table below gives the depth of water across a river measured at one metre intervals between banks.

Distance (m) 0 1 2 3 4

Water depth (m) 0 0.5 1.6 0.9 0

(a) Use the Trapezium rule to estimate the cross-sectional area of the river.

(b) A river hydrologist estimates that at the place where this cross sectional data was measured the average speed of water flow is 0.6m/s. Estimate the volume of water which passes this section of the river in one minute

Here, a = 0, b = 4, k = 4 and x = (b a)/k = (4 0)/4 = 1 ...

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