1.

The base perimeter of a square pyramid is 48cm. Slant height is 10cm. Calculate lateral surface area and volume.

Answer»

Base perimeter = 48cm

baseedge = \(\frac{48}{4}\) = 12 cm, slant height = 10cm

height = \(\sqrt{(10)^2-(6)^2}\) = \(\sqrt{64}\) = 8cm

Curved siuface area= 2 × 12 × 10 = 240 cm2

Volume = \(\frac{1}{3}\) (12)2 × 8 = 384 cm3



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