Question

Find the surface area of the hexagonal pyramid.

The base area is 166.3 cm2.

Answer 1

The surface area of the hexagonal pyramid is 291.93 cm2

Explanation:

The complete question is

Given -

Base area of pyramid = 166.3 cm2

Height of the pyramid = 12 cm

Surface area of hexagonal pyramid is

`A=(1)/(3) * 3^{(3)/(4)}*\sqrt{A_B*(6h^2+√(3) A_B)+A_B}`

Here AB is the base area and h is the height

Substituting the given values we get

`A=(1)/(3) * 3^{(3)/(4)}*\sqrt{166.3*(6*12^2+√(3) * 166.3)+166.3}\\A = (1)/(3) * 2 * √((166.3 *1152.04)+166.3))\\A = (2)/(3) * 437.893\\A = 291.93 }`

The surface area of the hexagonal pyramid is 291.93 cm2