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Find the surface area of a square pyramid with side length 3 m and slant height 3 m.

For 50 points!

2 Answers

9 votes

Answer:

27 m²

Explanation:

Finding surface area

  • Area (4 triangles) + Area (square base)
  • 4 x 1/2 x 3 x 3 + 3 x 3
  • 18 + 9
  • 27 m²
User Sohail Ashraf
by
8.2k points
9 votes

Answer:

27 m²

Explanation:

The surface area of a square pyramid comprises:

  • one square
  • 4 congruent triangles

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

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

Given:

  • slant height = height of triangle = 3 m
  • side length = x = base of triangle = 3 m

Surface area = area of square + 4 × area of triangle

= 3² + 4(1/2 × 3 × 3)

= 9 + 4(9/2)

= 9 + 18

= 27 m²

User Genesisxyz
by
8.6k points

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