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9 August, 19:32

The base of a rectangular solid is 4ft. long and 3ft. wide. What is the volume of the solid if its diagonal is sqrt of 41 ft.?

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  1. 9 August, 19:44
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    The diagonal of the figure forms a right angle triangle with the diagonal of the base and the height of the figure.

    Diagonal of base = √ (3² + 4²)

    = 5ft

    Diagonal of solid² = Diagonal of base² + height²

    height = √ ((√41) ² + 5²)

    height = 8.12 feet

    Volume = width x length x height

    Volume = 3 x 4 x 8.12

    = 97.44 cubic feet
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