Matematika

Pertanyaan

diket: perbandingan panjang,lebar,tinggi= 5:3:2 jika volume balok 1.920 cm3 hitunglah a.panjang,lebar,tinggi b.luas permukaan balok

2 Jawaban

  • p = 5x
    l = 3x
    t = 2x

    V = p x l x t
    1920 = 5x . 3x . 2x
    1920 = 30x
    x = 64

    p = 320
    l = 192
    t = 128

    Lp = 2pl x 2pt x 2lt
    = 2 x 320 x 192 + 2 x 320 x 128 + 2 x 192 x 128
    = 253 952 cm^2
  • a.p:l:t = 5:3:2
    volume = 1920
    5x.3x.2x = 1920
    30x^3 = 1920
    x^3 = 1920/30
    x^3 = 64
    x = 4
    p = 5x = 5.4 = 20 cm
    l = 3x = 3.4 = 12 cm
    t = 2x = 2.4 = 8 cm

    b.luas permukaan :
    (p.l)+(l.t)+(t.p)
    =(20.12)+(12.8)+(8.20)
    =240 + 96 + 160
    = 496 cm^2

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