A piece for a game board is shaped like a triangular prism. the piece is 18mm long. the base of the piece is an equilateral triangle with 10mm sides and a height of 9mm. find the surface area of the game piece. please help

Area of the triangle, 

                      A = bh / 2 = (10 mm)(9 mm) / 2 = 45 mm²

Since there are 2 triangles, their total area is 90 mm².

Then, the area of the sides are,

           3A = (3)(10 mm)(18 mm) = 540 mm²

The total area is equal to 585 mm².

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1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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