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What is the slant height of a square pyramid that has a surface area of 279 square meters and a side length of 9 meters?

2 Answers

3 votes
11.........................................................................
User Hvintus
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4 votes

Answer:

l = 11 meters

Explanation:

Surface area = s² + 2s*l

Where "l" is the slant height

Given: Surface area = 279 ; side length s = 9

Now plug in these values in the above formula, we get

279 = 9^2 + 2*9*l

279 = 81 + 18*l

18l = 279 - 81

18l = 198

Dividing both sides by 18, we get

l = 198/18

l = 11 meters

Therefore, slant height of the square pyramid = 11 meters

Hope this will helpful.

Thank you.

User Aequalsb
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5.8k points