Matematika

Pertanyaan

Limas alasnya persegi , volumnya 48cm3 ,jika ukuran panjang sisi alas dan tingginya di perbesar 3kali ,maka volumnya adalah ?

1 Jawaban

  • [tex]
    V_1 = 48 cm^3\\
    s_1 = s\\
    t_1 = t\\
    s_2 = 3s\\
    t_2 = 3t\\
    \frac {V_1}{V_2} = \frac {\frac {1}{3} \times s_1{^2} \times t_1}{\frac {1}{3} \times s_2^{2} \times t_2}\\

    \frac {48}{V_2} = \frac {\frac {1}{3} \times s{^2} \times t}{\frac {1}{3} \times {3s}^{2} \times 3t}\\

    \frac {48}{V_2} = \frac {\frac {1}{3} \times s{^2} \times t}{\frac {1}{3} \times 9s^{2} \times 3t}\\

    \frac {48}{V_2} = \frac {1}{27}\\

    V_2 = 48 \times 27 = 1296\\
    [/tex]

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