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Ashraf82

The surface area of the pyramid is 279 feet²

Step-by-step explanation:

The square pyramid has

  • One square base
  • 4 congruent triangular faces
  • The surface area of it is the sum of the areas of the base and the four faces
  • SA = s² + 4( [tex]\frac{1}{2}[/tex] × s × l), where s is the length of the side of the square and l is the slant height

A pyramid with a square base measuring 9 feet on a side

The slant height of each face is 11 feet​

∵ The length of the side of the square base is 9 feet

∴ s = 9

∵ The length of the slant height of each face is 11 feet

∴ l = 11

- Substitute the values of s and l in the rule of the surface area

∵ SA = (9)² + 4( [tex]\frac{1}{2}[/tex] × 9 × 11)

∴ SA = 81 + 4(49.5)

∴ SA = 81 + 198

∴ SA = 279 feet²

The surface area of the pyramid is 279 feet²

Learn more:

You can learn more about surface area in brainly.com/question/12041380

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