Question

What is the surface area of this square pyramid?

Answer 1

Answer: 105 yd²

Step-by-step explanation:

The formula for determining the surface area of a square pyramid is expressed as

Surface area = base area + 2(length of each side × slant height)

From the information given,

Length of each side of the square = 6.2 yd

Base area = 6.2² = 38.44 yd²

To determine the slant height, h, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Adjacent side = 6.2/2 = 3.1

Opposite side = h

Therefore,

Tan 60 = h/3.1

h = 3.1tan60 = 3.1 × 1.732

h = 5.3692 yd

Therefore,

Surface area = 38.44 + 2(6.2 × 5.3692)

= 38.44 + 66.58

= 105yd² to the nearest tenth