Question

a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of 12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

What is a hexagonal pyramid?

A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.

For the given situation,

The base of the hexagon, a = 12 in

The formula of the area of hexagon base is

$A=\frac{3\sqrt{3}(a)^{2} }{2}$

On substituting the above values,

⇒ $A=\frac{3\sqrt{3}(12)^{2} }{2}$

⇒ $A=\frac{3\sqrt{3}(144 )}{2}$

⇒ $A=374.12$

Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.

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