Find the surface area of a regular triangular prism if the perimeter of the base of the prism is 36 cm

Find the surface area of a regular triangular prism if the perimeter of the base of the prism is 36 cm and the side edge is 10 cm.

The area of a regular triangular prism consists of two identical equilateral triangles and three identical rectangles.
The area of an equilateral triangle is found by the formula:
Str = a ^ 2 * √3 / 4, where a is the side of the triangle;
Str = (36/3) ^ 2 * √3 / 4 = 144 * √3 / = 62.35 cm2;
We find the area of the rectangle by the formula:
Spr = a * b, a – one side of the rectangle, b – the second side of the rectangle;
Spr = 10 * 6 = 60 cm2;
Let’s find the area of a regular triangular prism:
S prisms = 2 * 62.35 + 3 * 60 = 304.7 cm2.



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