Question-the roof of a building is in the shape of a square pyramid 25 m on each side. if the slant height of the pyramid is 18 m, how much will roofing material cost at $10.23 per sq m (round to the nearest whole number)

Step-by-step explanation:

step 1

Find the lateral area

we know that

The lateral surface of a square pyramid is equal to the area of its four lateral triangular faces

so

where

----> slant height

substitute the values

step 2

Find the cost

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3