Matematika

Pertanyaan

the base face of a prism is a regular hexagon. the height of the prism is 25 cm and the total area of the triangles serving as the lateral faces is 3000 cm^2. find:
a. the length of each of the base edge

b. the volume of the prism

1 Jawaban

  • a. 
    luas  = k x t
    3000 = k x 25
    3000/25 = k
         120  = k
    sisi segi 6
    the length of each of the base edge= 120 : 6
                                                                 = 20

    b. La = s² x 3/2 √3
            = 20² x 3/2 √3
            = 400 x 3/2 √3
            = 200 x 3√3
            = 600√3
    volume = La x t
               = 600√3 x 25
               = 15.000 cm³

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