Question

Find the surface area of the pyramid . The surface area of the pyramid is _m2(Do not round until final answer .Then round to the nearest whole number as needed .)

Answer 1

surface area of the pyramid is

$\begin{gathered} Atotal=Abase+\frac{Pbase\cdot Apothem}{2} \\ \end{gathered}$

then

$\begin{gathered} \text{Abase}=\frac{P\cdot\text{Apothembase}}{2} \\ \text{Abase}=\frac{18\cdot6\cdot9\sqrt[]{3}}{2}=841.77 \end{gathered}$

and the total area is:

$\text{Atotal}=841.77+\frac{6\cdot18\cdot18}{2}=841.77+\frac{1944}{2}=841.77+972=1814$

answer: 1814 m^2