A square pyramid is 4 feet on each side. The height of the pyramid is 6 feet. What is the total area of the pyramid?

A=16+16

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Given dimensions of a pyramid:

Length = l = 4 feet

Width = w = 4 feet for square base (w=l)

Height = h = 6 feet

The formula to find the area of square pyramid is = A = l^{2} + 2l\sqrt{\frac{l^{2} }{4} + h^{2} }A=l

2

+2l

4

l

2

+h

2

=> A = 4^{2} + 2(4)\sqrt{\frac{4^{2} }{4} + 6^{2} }A=4

2

+2(4)

4

4

2

+6

2

=>A = 16 + 8\sqrt{{4 + 36 }

=> A = 16 + 8\sqrt{{40 }

=>A = 16 + 8\sqrt{{2^{2} *10 }

=> A = 16 + 16\sqrt{10 }A=16+16

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