A diagonal in a cuboid

A diagonal in a cuboid

Secondary 3
6 marks
TGM Original Questions

\(ABCDEFGH\) is a cuboid. \(ABCD\) is its horizontal base, and \(E,F,G,H\) are vertically above \(A,B,C,D\), respectively. \(AB=10\) cm, \(BC=6\) cm and \(CG=4\) cm.

  1. Calculate the space diagonal \(AG\), correct to 3 significant figures.[3]
  2. Calculate the angle between \(AG\) and the base \(ABCD\), correct to 1 decimal place. Name the angle you calculate.[3]

Solution:

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Answer:(a) \(12.3\text{ cm}\) (b) \(\angle GAC=18.9^\circ\)

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