Question

I need some help on finding the surface area. i don't know how to solve with a triangular base?

Answer 1

The surface area(A) of a triangular pyramid can be found using the formula:

`A\text{ = }(1)/(2)\text{ }*\text{ a }*\text{ b + }(3)/(2)\text{ }* b\text{ }*\text{ s}`

Given the triangular prism:

Hence, we have:

a = 3.5 m

b = 4m

s = 11.1 m

Substituting the values into the formula:

`\begin{gathered} A\text{ = }(1)/(2)*3.5\text{ }*4\text{ + }(3)/(2)\text{ }*\text{ 4 }*\text{ 11.1} \\ =\text{ 7 + 66.6} \\ =\text{ 73.6 m}^2 \end{gathered}`

Hence, the surface area of the pyramid is 73.6 square meter