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=(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=(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.