Question

Can you please help me out with a question

Answer 1

A square based pyramid comprises of four(4) tirangular faces and a square base.

Area of a square =L², where Length of the square (L)=10m

Area of the triangle

$\frac{1}{2}\times base\text{ }\times height$

The height of the triangular faces is representented the slant height of the pyramid

Then the height of the triangle (h)=13m and base =10m

The total surface area of a square based pyramid is given as

$\text{area of the square base + area of the 4 triangular faces}$$\begin{gathered} \text{Area of square=L}^2 \\ \text{Area of square= 10}^2 \\ Areaofsquare=100m^2 \end{gathered}$

Area of 4 triangular faces

$4\times\frac{1}{2}\times base\times height$$\begin{gathered} 4\times\frac{1}{2}\times10\times13 \\ A\text{rea of 4 triangular faces=260m}^2 \end{gathered}$

Therefore the total surface area of the square based pyramid is

$100m^{2\text{ }}+260m^2=360m^2$

Hence from the question the correct option would be option B=360m²