Three-Dimensional Trigonometry: Analysis of a Right Square-Base Pyramid
Three-Dimensional Trigonometry: Analysis of a Right Square-Base Pyramid
Secondary 3
The diagram below shows a right square-base pyramid \(PQRS\) with \(PQ=13\) cm.
The midpoint of \(RS\) is \(M\).
The height \(VO\) of the pyramid is \(10\) cm.
Calculate
- the length of the diagonal \(QS\),
- the length \(OM\),
- the angle \(VSQ\),
- the volume of the pyramid.
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Answer:(i) \(QS=18.4\text{ cm}\) (ii) \(OM=6.5\text{ cm}\) (iii) \(\angle VSQ=47.4^\circ\) (iv) \(563\dfrac13\text{ cm}^3\)
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