The net of a triangular prism and it's dimensions are shown. What is the total surface area of the prism in square ft?

270 cm²

Step-by-step explanation:

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Solution:

A prism is a three dimensional polygon with two identical and opposite faces. These bases are called the base of the polygon.

A triangular prism is a prism in which its bases are triangular in shape and it also has three rectangular sides.

The total surface area (TSA) of a triangular prism is given by:

TSA = area of triangle 1 + area of triangle 2 + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangle 1 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of triangle 2 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of rectangle 1 = length * breadth =15 * 6 = 90 cm²

Area of rectangle 2 = length * breadth =15 * 5 = 75 cm²

Area of rectangle 3 = length * breadth =15 * 5 = 75 cm²

TSA = 15 cm² + 15 cm² + 90 cm² + 75 cm² + 75 cm² = 270 cm²

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