Matematika

Pertanyaan

suatu balok mempunyai perbandingan p:l:t=3:2:1. jika volumenya 384 cm³, berapakah ukuran panjang, lebar, tinggi balok tersebut!

2 Jawaban

  • p : l : t = 3 : 2 : 1
    Misal :
    p = 3x
    l = 2x
    t = x

    Volume balok = 384 cm³
    p x l x t = 384
    (3x) (2x) (x) = 384
    (3x) (2x²) = 384
    6x³ = 384
    x³ = 384/6
    x³ = 64
    x = ∛64
    x = 4 cm

    Panjang balok
    = 3x
    = 3 (4)
    = 12 cm

    Lebar balok
    = 2x
    = 2 (4)
    = 8 cm

    Tinggi balok
    = x
    = 4 cm
  • panjang = 3x
    lebar = 2x
    tinggi = x
    V.balok = p x l x t
    384 = p x l x t
    384 = 3x . 2x . x
    384 = 6 x³
    384 : 6 = x³
    64 = x³
    x = 4

    panjang = 3x = 3.4 = 12 cm
    lebar = 2x = 2.4 = 8cm
    tinggi = x = 4cm

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