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11 November, 12:50

The surface area of a prism is 224 square inches. What is the surface area of a similar prism that has dimensions that are 1/4 the original dimensions?

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  1. 11 November, 14:19
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    The surface area of the similar prism is 56 square inches

    Step-by-step explanation:

    Given surface area of prism, A = 224 square inches

    The total surface area of a triangular prism = 2 x Area of triangle + ph

    Area of triangle = ¹/₂bh

    Where;

    b is the base of the prism

    h is the height of the prism

    p is the perimeter of lateral surfaces

    Area of prism involves the product of the dimensions, if the new dimensions is 1/4 the original dimensions;

    Product of original dimensions = 224 square inches

    1/4 of the product of original dimensions = 1/4 x 224 square inches

    = 56 square inches

    The surface area of the similar prism = 56 square inches

    Thus, the surface area of the similar prism is 56 square inches
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