Matematika

Pertanyaan

panjang, lebar, dan tinggi sebuah balok berturut-turut a cm, b cm, c cm. keliling alas balok 76 cm, keliling sisi tegak depan 80 cm, dan keliling sisi samping kanan 68 cm. tentukan volume balok tersebut

1 Jawaban

  • jawab
    p= a
    l = b
    t = c

    kelilin alas =  76
    2(p+l) = 76
    p + l = 38
    a + b  = 38 ...(i)

    keliling sisi tegak depan = 80
    2(p+t) = 80
    p + t = 40
    a + c = 40 ...(ii)

    keliling samping kanan = 68
    2(l+t) = 68
    l + t = 34
    b + c = 34....(iii)

    (i) dan  (ii)
    a + b = 38
    a+ c = 40 ...(-)
    b - c = - 2 ...(iv)

    (iii) dan (iv)
    b + c = 34
    b - c = - 2....(+)
    2b = 32
    b  = 16

    b + c = 34
    c = 34 - b =  34 - 16
    c = 18

    a+ b = 38
    a + 16 = 38
    a = 22

    p = a = 22
    l = b = 16
    t = c = 18

    Volume = p . l . t = 12 x 16 x 18
    V = 3.456 cm³

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