The surface area of the prism based on the net provided will be 184 square meters.
<h3>What is the surface area of a triangular prism?</h3>
Let h be the height and b be the base of the triangle.
Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.
Then the surface area of the triangular prism will be
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = h x b + (L₁ + L₂ + L₃) x W
From the figure, the length of the rectangles will be 5 m, 6 m, and 5m, and the width is 10 m.
From the figure, the height is 4 m and the base is 6 m of the triangle. Then we have
Surface area = 4 x 6 + (6 + 5 + 5) x 10
Surface area = 24 + 16 x 10
Surface area = 24 + 160
Surface area = 184 square m
The surface area of the prism based on the net provided will be 184 square meters.
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