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  • 19-12-2019
  • Mathematics
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A square pyramid is 6 feet on each side. The height of the pyramid is 6 feet. What is the total area of the pyramid?

A square pyramid is 6 feet on each side The height of the pyramid is 6 feet What is the total area of the pyramid class=

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PollyP52 PollyP52
  • 19-12-2019

Answer:

It is B.   (36√5 + 36) ft^2.

Step-by-step explanation:

Total area = area of the base +  4 * area of the triangular side.

The slant height of a triangular side =  √(6^2 + 3^2)

= √45

= 3√5

The area of this side = 3 * 3 √5

= 9√5.

Therefore the total area of the pyramid

=  6^2 + 4*9√5

= (36 + 36√5) ft^2.

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