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Properties of a rectangular prism: * A rectangular prism has a total of 6 surfaces. * Because it is rectangular it will have 4 equal longer edges and 8 equal shorter edges, and so * It will have 4 rectangular faces and 2 square faces, therefore * Total surface area = 2 x square (end ) surface + 4 x rectangular (side) surfaces If we let x = shorter edges (breadth) & y = longer edges (length), and, as area = length x breadth, then * each end (a square surface) will have an area of x2 * each side (rectangular surface) will have an area of xy Thus: Total surface area of the rectangular prism = 2 x end area + 4 x side area = 2x2 + 4xy = 2x(x + 2y) Hope this nswers your question and explains how we arrive at the formula for calculating the total surface area of a rectangular prism.

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