Trapezoidal Rule

Quiz Details

Topics covered

Q 1 Past HSC Questions- By Topic - Trapezoidal Rule

Question 1

HSC 2019 - Question 41 (External Link) Show Question

Answer

a) $1 c m = 100 m$

b) $V = 1600 m^{3}$

Worked Solution

$41 a)$

$\begin{aligned} 3 km / h & = \frac{3000 m / \min}{60} . \\ = 50 m / \min \\ In 10 minutes & walk is 50 \times 10 = 500 m \\ ∴ 5 cm = 500 m \\ 1 cm = 100 m \end{aligned}$

$41 b)$

$\begin{aligned} Scale: 1 cm & = 100 m \\ Area & = \frac{400}{2} (100 + 300) \\ = 80000 m^{2} \\ 20 mm & = 0.02 m \\ ∴ Volume & = 80000 \times 0.02 \\ = 1600 m^{3} \end{aligned}$

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