Question

Solve for the Surface Area of the triangular pyramid. The base is an equilateral triangle.Surface Area =2cm

Answer 1

We will determine the surface area as follows:

*First: We determine the area of one of the side faces:

$A_s=\frac{4\cdot7}{2}\Rightarrow A_s=14$

[This is the same area for the other two side faces] and the area of one of the faces is 14 square centimeters.

*Second: We determine the area for the base:

$A_b=\frac{4\cdot1}{2}\Rightarrow A_b=2$

So, the area of the base is 2 square centimeters.

*Third: We determine the total surface area:

$A_T=3A_s+A_b\Rightarrow A_T=3(14)+2$$\Rightarrow A_T=44$

So, the total surface area for the pyramid us 44 square centimeters.