The area of a 6x6x6 equilateral triangle is 15.58 sq. units.
What is equilateral triangle?
"It is a triangle whose all sides are equal in length and all angles measure 60° "
What is the area of an equilateral triangle?
" [tex]A=\frac{\sqrt{3} }{4}\times a^2[/tex] where 'a' is the side length of an equilateral triangle."
For given question,
We need to find the surface area of a 6 x 6 x 6 equilateral triangle.
Here, the side length of an equilateral triangle a = 6 units
Using the formula of the area of an equilateral triangle,
[tex]\Rightarrow A=\frac{\sqrt{3} }{4}\times 6^2\\\\\Rightarrow A=\sqrt{3}\times 9\\\\ \Rightarrow A=15.58~sq.~units[/tex]
Therefore, the area of a 6x6x6 equilateral triangle is 15.58 sq. units.
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