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    NationalMediumGeometry7–9

    Surface Area of a Prism

    Área de Superfície de um Prisma

    A triangular prism has a right-triangle base with legs 33 cm and 44 cm, and a length of 1010 cm. Find its total surface area.

    A prism drawn in cabinet projection. Its front face is a right triangle standing on a horizontal leg of 4 cm with a vertical leg of 3 cm and a right angle between them; the hypotenuse is drawn but not labelled. The prism runs 10 cm back and to the upper right, so the triangle appears again at the far end, joined by three rectangular faces. Hidden edges are dashed.3 cm4 cm10 cm

    Find the hypotenuse first, then calculate the two triangular faces and three rectangular faces.

    Solution

    Step 1 of 4

    1. 1.Hypotenuse =32+42=5= \sqrt{3^{2} + 4^{2}} = 5 cm