1.

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?1). 3√32). 6√33). 64). 3

Answer»

Area of the BASE of PRISM = 6 × √3/4 × 6 × 6 = 54√3

Total surface area of the prism = 2 × Area of the base + 6 × (Side of the base) × (Height of prism)

⇒ 216√3 = 2 × 54√3 + 6 × 6 × H

⇒ 36H = 108√3

∴ H = 3√3 cm


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