Question

The two hexagonal pyramids are similar. if the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2

Answer 1

The largest pyramid's surface area is roughly 159.31 $ft^2$.

What is hexagonal pyramids?

A hexagonal pyramid is one that has six isosceles triangles that meet at a point, each of which is supported by a hexagonal foundation. It is self-dual, just as any pyramid. It possesses C6v symmetry when the base of a right hexagonal pyramid is a regular hexagon.

A pyramid is a solid,

Additionally, the ratio of two solids' surfaces when they are comparable is equal to the square of the similarity scale factor.

The similarity scale factor in this instance

                 = (Hight of the larger pyramid)/(Height of smaller pyramid)

                  =15/6

Due to the aforementioned characteristic,

                  = (15/6)^2

                 

Given that the smaller pyramid's surface area is 25.49 $ft^2$,

               

(The surface of larger pyramid)/(25.49) = 225/36

The surface of larger pyramid = (25.49*225)/36

                                                   = 5735.25/36

                                                   =  159.3125 ft^2      

To know more about pyramid's surface area visit:

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