Question

The roof of a building is in the shape of a square pyramid 28m on each side. If the slant height of the pyramid is 25m how much will roofing material cost at $8.59 per square m?

Answer 1

SOLUTION

Given the question in the question tab, the following are the solution steps to get the cost of the roofing material

Step 1: The square pyramid has 4 triangles. To get the cost, we first find the area of the 4 triangles

$\begin{gathered} side=base=26m \\ \text{height}=25m \\ \text{Area}=\frac{1}{2}\times base\times height \\ \text{Area}=\frac{1}{2}\times26\times25 \\ \text{Area}=325m^2 \\ \text{Area of the 4 triangles}=4\times325=1300m^2 \end{gathered}$

Step 2: Calculate the cost of the roofing material

$\begin{gathered} 1m^2=8.59 \\ 1300m^2=x \\ By\text{ cross multiplication,} \\ x\times1=1300\times8.59 \\ x=11167 \end{gathered}$

Hence, the cost of the roofing material for the building will be $11167