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Q9. (a) Fig Q9(a) shows the cross section of a regular hexagonal nut which is 8 mm thick.

Determine the number of these nuts which can be cast from a block of metal having dimensions of 5 cm × 4 cm × 12 cm, allowing for 9.2% wastage. (10)

(b) A solid conic frustum made of aluminium has end diameters 120 mm and 180 mm and a vertical height of 120 mm.

The density of the aluminium is 2.7 × 10³ kg/m³.

Determine the mass of the frustum. (6)