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kotegsom [21]
3 years ago
8

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Mathematics
2 answers:
CaHeK987 [17]3 years ago
6 0
Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 / <span> <span> <span> 2.3094 </span> </span> </span>
Area of the Base = <span> <span> <span> 41.5692387633 </span> </span> </span>

Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72

<span> <span> Total Area = 41.5692387633 </span> + 72</span>
Total Area = 113<span>.5692387633</span>


Marina86 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

alright lets get started.

Total area of pyramid will be equals to the sum of area of base and the area of all six faces.

area of hexagonal will be = \frac{3\sqrt{3} }{2} *a^2

Plugging the value of a as 4, the area of base will be :

\frac{3\sqrt{3} }{2}*4^2= 41.57

Now the area of one face will be= \frac{1}{2} *base*height

so, the area of one face will be = \frac{1}{2} * 4*6=12

So, the area of six faces will be = 6*12=72

So, the total area of pyramid will be = 41.57+72

So, the total area of pyramid will be 113.57

Hence the answer is 113.57.      :   answer

Hope it will help :)

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