Question

Please help!! 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)

Answer 1

`\$9,207`

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

`LA=4[(1)/(2)bh]`

where

`b=25\ m`

`h=18\ m` ----> slant height

substitute the values

`LA=4[(1)/(2)(25)(18)]=900\ m^(2)`

step 2

Find the cost

`900(10.23)=\$9,207`