the figure below is a net for a triangular pyramid. if all the triangles are equilateral what isvthe surface area of the pyramid in square ft

the figure below is a net for a triangular pyramid if all the triangles are equilateral what isvthe surface area of the pyramid in square ft class=

Respuesta :

There are four equilateral triangles in the pyramid.

Determine the area of one triangle.

[tex]\begin{gathered} A=\frac{1}{2}\cdot7.79\cdot9 \\ =35.055 \end{gathered}[/tex]

The total area of four equilateral triangle is equal to the surface area of pyramid.

Determine the surface area of pyramid.

[tex]\begin{gathered} A^{\prime}=4\cdot35.055 \\ =140.22 \end{gathered}[/tex]

Thus surface area of pyramid is 140.22 square feet.

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