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    IBHardGeometry & Trigonometry7–9

    Surface Area of a Prism Read from Its Net

    Área da Superfície de um Prisma Lida na Sua Planificação

    A net folds into a prism whose two end faces are right-angled triangles with legs 6 \text{ cm} and 8 \text{ cm}. The prism is 15 \text{ cm} long. Find the total area of the net, and state the width of the widest rectangle in it.

    A net shows every face laid flat, so its area is the surface area: two triangles and three rectangles. Each rectangle is as long as the prism and as wide as one side of the triangle — and one of those sides is not given.

    Solution

    Step 1 of 11

    1. 1.The third side of the triangle is its hypotenuse: