1.

A hexagonal pyramid has apothem length 5 cm, base length 6 cm, height 11 cm and slant height 12 cm. find the ratio between total surface area and volume of the pyramid.1). 51 ∶ 552). 55 ∶ 513). 11 ∶ 114). 25 ∶ 31

Answer»

Let a be the apothem LENGTH, base length, SLANT height and height are b, s and h respectively.

Surface area of a hexagonal pyramid = 3ab + 3bs

⇒ 3 × 5 × 6 + 3 × 6 × 12

⇒ 90 + 216 = 306cm2

Volume of the pyramid = abh

⇒ 5 × 6 × 11 = 330cm3

∴ Required ratio is = 306 : 330 = 51 ? 55


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