The correct net of the prism and its' surface area is given by;
Option 2; Net A with 480 square inches
Let us first find the surface area of the prism;
Surface area of it's triangular base = 12 × 14 = 168 in²
Surface area of left rectangle = 14 × 5 = 70 in²
Surface area of 2 side triangles = 2(¹/₂ × 12 × 5) = 60 in²
Surface area of rectangular slanted portion = 14 × 13 = 182 in²
Total surface area of prism = 168 + 70 + 60 + 182
Total surface area of prism = 480 in²
The net that will be the correct one of the prism will be the one that will have an area of 480 in²
Surface area of net A;
Area of bottom long rectangle = 14(13 + 12 + 5) = 420 in²
Area of 2 triangles = 2(¹/₂(5 × 12)) = 60 in²
Total area of Net A = 420 in² + 60 in²
Total area of net A = 480 in²
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