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Plzzz Help ASAP! This image shows a square pyramid what is the surface area of this square pyramid?

Plzzz Help ASAP! This image shows a square pyramid what is the surface area of this-example-1

2 Answers

2 votes

The answer is 72 ft²

User Mithrandir
by
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1 vote

Answer:


72\ ft^(2)

Explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so


SA=b^(2)+4[(1)/(2)bh]

where

b is the length side of the square base

h is the height of the triangular face

Remember that

Each lateral triangular face is a triangle 45°-90°-45°

so


h=b/2

we have


b=6\ ft

so


h=6/2=3\ ft

substitute in the formula


SA=6^(2)+4[(1)/(2)(6)(3)]=72\ ft^(2)

User Vohrahul
by
6.8k points