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11 September, 02:33

Find the surface area of a rectangular prism the sides of the right triangular base 9 centimeters 12 centimeters and 15 centimeters the height of the prism is 20 centimeters

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  1. 11 September, 03:03
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    The area of the base and top is given by:

    A1 = (1/2) * (9) * (12)

    A1 = 54 cm ^ 2

    Then, we have three rectangles:

    rectangle 1:

    A2 = (15) * (20)

    A2 = 300 cm ^ 2

    rectangle 2:

    A3 = (12) * (20)

    A3 = 240 cm ^ 2

    rectangle 3:

    A4 = (9) * (20)

    A4 = 180 cm ^ 2

    The surface area will be:

    A = 2A1 + A2 + A3 + A4

    A = 2 * (54) + 300 + 240 + 180

    A = 828 cm ^ 2

    Answer:

    The surface area of a rectangular prism is:

    A = 828 cm ^ 2
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