Question

2. Calculate the total surface area of the regular triangular pyramid SABC if: (a) AB = BC = AC = SA = SB = SC = 10 cm;

Answer 1

Given that the side of the prism is 10 cm.

Then, the TSA of the pyramid is given as

$\begin{gathered} TSA=\sqrt{3}a^2 \\ where\text{ a is the side of the prism.} \end{gathered}$

On putting the values

$\begin{gathered} TSA=\sqrt{3}\times10\text{ sq cm} \\ TSA=10\sqrt{3}\text{ sq cm} \end{gathered}$

Therefore the required total surface area is 10√3 sq cm.