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zzz [600]
2 years ago
9

Find the surface area of the square pyramid.

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
8 0

Answer:

C)  45 ft²

Step-by-step explanation:

<u>Formulae</u>

Area of a square = x²  (where x is the side length)

Area of a triangle = 1/2 × base × height

The surface area of a square pyramid comprises:

  • square base
  • 4 congruent triangles

⇒ area of square base = 5² = 25 ft²

⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²

⇒ Total surface area = area of square base + 4 triangular areas

                                   = 25 + 4(5)

                                   = 25 + 20

                                   = 45 ft²

const2013 [10]2 years ago
3 0

Area of base

  • side²
  • 5²
  • 25ft²

Area of one triangle side

  • 1/2(2)(5)=5ft²

Area of 4 sides

  • 5(4)=20ft²

TSA

20+25=45ft²

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