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6th grade math

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Find the volume of the right triangular prism. The bases are equilateral triangles with a length of 6 mm. The height of the prism is 8.4 mm. (Round to the nearest tenth.)

  • 6th grade math -

    V = Volume

    A = Area of trangle


    V = A * h


    A = s ^ 2 * sqrt ( 3 ) / 4

    where

    s = length of equilateral triangle sides

    A = 6 ^ 2 * sqrt ( 3 ) / 4

    A = 36 * sqrt ( 3 ) / 4

    A = 4 * 9 * sqrt ( 3 ) / 4

    A = 9 * sqrt ( 3 )

    A = 9 * 1.73025

    A = 15.58845 mm ^ 2


    V = A * h

    V = 15.58845 * 8 .4

    V = 130.94298 mm ^ 3

    V = 130.9 mm ^ 3 rounded to the nearest tenth

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