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A square pyramid is made from a solid cube having edge 30cm. Calculate the surface area.

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Base edge of the square pyramid = 30 cm 

Height = 30 cm

Slant height = \(\sqrt{30^2+15^2}\)

\(\sqrt{900+225}\) = \(\sqrt{1125}\) = \(15\sqrt{5}\)

Lateral surface area = \(4\times\frac{1}{2}\times15\sqrt{2}\times30\)

= 60 x 15√5 = 900√5 sq.cm

Total surface area = 900 + 900√5

= 900(1 + √5) sq.cm

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