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33 votes
Find the surface area of a square pyramid with side length 3 km and slant height 3

Find the surface area of a square pyramid with side length 3 km and slant height 3-example-1
User Galila
by
2.7k points

2 Answers

10 votes
10 votes

Answer:

27 km²

Explanation:

Surface Area :

  • Area (4 triangles) + Area (square)
  • 4 x 1/2 x 3 x 3 + 3 x 3
  • 18 + 9
  • 27 km²
User Bjinse
by
3.2k points
18 votes
18 votes

Answer:

Total surface area = 27 km²

Explanation:

The surface area of a square based pyramid comprises:

  • 4 congruent triangles (sides)
  • 1 square (base)

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

= 1/2 × 3 × 3

= 4.5 km²

Area of a square = (side length)²

= 3²

= 9 km²

Total surface area = 4 triangles + square base

= (4 × 4.5) + 9

= 18 + 9

= 27 km²

User Jeff Sherlock
by
2.6k points