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3 years ago

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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