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A pyramid has a square base, whose side is 8 cm. If the height of pyramid is 16 cm, then what is the total surface area (in cm2) of the pyramid?1). 64(√17 + 1)2). 32(√13 + 1)3). 64(√3 + 1)4). 32(√5 + 1) |
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Answer» Side of the square BASE = 8 cm and HEIGHT of the pyramid = 16 cm SLANT height (L) of the pyramid needs to be evaluated, ⇒ l2 = (side/2)2 + (Height)2 ⇒ l2 = 16 + 256 = 272 ⇒ l = 4√17 cm ∴ Total surface area of the pyramid = (Base Area) + ½ × (Perimeter of base) × (Slant height) ⇒ 64 + ½ × 32 × 4√17 ⇒ 64 + 64√17 ⇒ 64(√17 + 1) cm2 |
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