How many right angled triangles can be formed by joining the vertices of a cuboid ........

Quantitative Aptitude (CDS) Mensuration 3D

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How many right angled triangles can be formed by joining the vertices of a cuboid?

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Explanation:

There are 6 faces and 4 diagonals in a cuboid.

Number of right-angled triangles formed by joining the vertices of 1 face of the cuboid = 4
Number of right-angled triangles formed by joining the vertices of 6 faces of the cuboid =4×6=24

Number of right-angled triangles formed by joining the vertices and 1 diagonal of the cuboid = 2
Number of right-angled triangles formed by joining the vertices and 1 diagonal of the cuboid =2×4=8
Therefore, number of right-angled triangles formed by joining the vertices of a cuboid =24+8=32