Matematika

Pertanyaan

sebuah balok memiliki luas sisi masing masing 20cm2 , 30cm2, dan 6cm2. volume balok tsb adalah...cm3


*20cm persegi
30cm persegi
6 cm persegi
...cm kubik

1 Jawaban

  • Ket :
    pers. = persamaan
    / = per

    L1 = p x l = 20 cm² ... pers. (1)
    L2 = p x t = 30 cm² ... pers. (2)
    L3 = l x t = 6 cm² ... pers. (3)

    p × l = 20
    p = 20/l substitusi ke pers. (2) :
    p × t = 30
    20/l × t = 30
    20 t = 30 l
    t = 3/2 l
    t = 1,5 l

    t = 1,5 l substitusi ke pers. (3) :
    l × t = 6
    l × 1,5 l = 6
    1,5 l² = 6
    l² = 6/1,5
    l² = 4
    l = 2 cm

    Maka :
    p = 20/l = 20/2 = 10 cm
    l = 2 cm
    t = 1,5 l = 1,5(2) = 3 cm

    V = p × l × t
    V = 10 × 2 × 3
    V = 60 cm³

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