Question

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

Answer 1

Answer:

27 km²

Step-by-step explanation:

Surface Area :

• Area (4 triangles) + Area (square)
• 4 x 1/2 x 3 x 3 + 3 x 3
• 18 + 9
• 27 km²

Answer 2

Answer:

Total surface area = 27 km²

Step-by-step 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