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ikadub [295]
3 years ago
12

What is the slant height of a square pyramid that has a surface area of 319 square feet and a side length of 11 feet?

Mathematics
2 answers:
Dafna1 [17]3 years ago
7 0

Step-by-step explanation:

Surface area of a square pyramid is the area of the square base plus the area of the four triangles made from the base and the slant height.

SA = s² + 4(sh/2)

which reduces to:

SA = s² + 2sh

You are told that s = 11 and SA = 319. You can now solve for h:

319 = 11² + 2(11)h

319 = 121 + 22h

198 = 22h

h = 9 ft (answer C)

I hope it's helpful!!

Lesechka [4]3 years ago
7 0

Answer:

the 319 square feet and side length of 11 feet is 10ft

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You solve it using math.

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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\boxed{x=100}

»»————- ★ ————-««  

Here’s why:  

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⸻⸻⸻⸻

\boxed{\text{Solve for 'x':}}\\\\58 + 22 + x = 180\\-----------\\\rightarrow 80 + x = 180\\\\\rightarrow 80 - 80 + x = 180 - 80\\\\\rightarrow \boxed{x=100}

⸻⸻⸻⸻

»»————- ★ ————-««  

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