ABCDV is a right square pyramid where ABCD is the square base with BC and AD being diagonals and V the vertex which is 6 cm vertically above the centre E of the base.

Question

(a) Draw a three dimensional diagram of the pyramid.
(b) Calculate:
i) the length BV
ii) the angle between the planes AVC and BVD
iii) the volume of the pyramid.

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