Question

Find the lateral area of this squarebased pyramid.10ft10 ft[? ]ft2

Answer 1

The formula used to calculate the lateral area of the square-based pyramid is given below as

`A_(lateral)=4* area\text{ of each triangular face}`

Step 1:

The area of a triangle is given below as

`\begin{gathered} A_(triangle)=(1)/(2)* base* height \\ base=10ft,height=10ft \\ \end{gathered}`

By substituting the values, we will have

`\begin{gathered} A_(tr\imaginaryI angle)=(1)/(2)* base* he\imaginaryI ght \\ A_{tr\mathrm{i}angle}=(1)/(2)*10ft*10ft \\ A_{tr\mathrm{i}angle}=(100ft^2)/(2) \\ A_{tr\mathrm{i}angle}=50ft^2 \end{gathered}`

Step 2:

The lateral area will be

`\begin{gathered} A_(lateral)=4* area\text{ of each tr}\imaginaryI\text{angular face} \\ A_(lateral)=4*50ft^2 \\ A_(lateral)=200ft^2 \end{gathered}`

Hence,

The final answer = 200ft²