A pyramid has a regular hexagon base with a side length and slant height if 7 meters. The apothum of a hexagon is 5.2 meters. Calculate the lateral surface area. Round your answer to the nearest tenth of a square meter.
Base area of a hexagonal pyramid = 3ab= 3× 5 cm × 8 cm= 120 cm2Surface area of a hexagonal pyramid= 3ab + 3bs= (3 × 5 cm × 8 cm) + (3× 8 cm × 15 cm)= 120 cm2 + 360 cm2= 480 cm2Volume of a hexagonal pyramid= abh= 5 cm × 8 cm × 12 cm= 480 cm3
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