An equilateral triangular pyramid is spread to form the net shown here. What is the surface area of this triangular pyramid?

A.
36.4 m2
B.
42.25 m2
C.
54.4 m2
D.
72.8 m2
E.
80.2 m2

An equilateral triangular pyramid is spread to form the net shown here What is the surface area of this triangular pyramid A 364 m2 B 4225 m2 C 544 m2 D 728 m2 class=

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ANSWER

The Correct answer is 72.8 [tex]m^2[/tex]


EXPLANATION

Since the equilateral triangular prism has 4 faces, we multiply the area of one of the faces by 4 to obtain the total surface area of the prism.


[tex]Total\: Surface\:Area=4\times \frac{1}{2}\times base \times height[/tex]


[tex]Total\: Surface\:Area=4\times \frac{1}{2}\times 6.5 \times 5.6[/tex]


[tex]Total\: Surface\:Area=2\times 6.5 \times 5.6[/tex]


[tex]Total\: Surface\:Area=72.8 m^2[/tex]








Answer:

The Correct answer is 72.8 m^2

Step-by-step explanation




EXPLANATION


Since the equilateral triangular prism has 4 faces, we multiply the area of one of the faces by 4 to obtain the total surface area of the prism.


Total\: Surface\:Area=4\times \frac{1}{2}\times base \times height


Total\: Surface\:Area=4\times \frac{1}{2}\times 6.5 \times 5.6


Total\: Surface\:Area=2\times 6.5 \times 5.6


Total\: Surface\:Area=72.8 m^2


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