Matematika

Pertanyaan

Volume balok yang mempunyai luas sisi masing masing 150cm2, 120cm2, dan 80cm2 beri caranya

1 Jawaban

  • p × l = 150 cm²
          l = [tex] \frac{150}{p} [/tex]

    p × t = 120 cm²
          t = [tex] \frac{120}{p} [/tex]

    l × t = 80 cm²
    [tex] \frac{150}{p} [/tex] × [tex] \frac{120}{p} [/tex] = 80
    [tex] \frac{18.000}{ p^{2}} [/tex] = 80
    80p² = 18.000
        p² = 225
        p = √225
        p = 15 cm

    l = [tex] \frac{150}{p} [/tex] = [tex] \frac{150}{15} [/tex] = 10 cm
    t = [tex] \frac{120}{p} [/tex] = [tex] \frac{120}{15} [/tex] = 8 cm

    Volume balok = p × l × t
                          = 15 × 10 × 8
                          = 1200 cm³

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