Matematika

Pertanyaan

Tolong dong no 4 itu..
Tolong dong no 4 itu..

1 Jawaban

  • rusuk kubus I  = s
    rusuk kubus II = s-4

    volume kubus I  = s³
    volume kubus II = (s-4)³

                        Selisih vol kubus = 208
                                   s³ - (s-4)³  = 208
    s³- [s³+3s²(-4)+3s(-4)²+1(-4)³] = 208
    s³- [s³-  12s²   +48s     - 64    ] = 208
                             12s²-48s-144 = 0
                            ---------------------------- : 12
                                  s² -4s - 12 = 0
                                  (s-6)(s+2) = 0
     s = 6 atau s = -2

     rusuk kubus I  = 6 cm
     rusuk kubus II = 6-4 = 2 cm

    a) vol kubus I  = 6³ = 216 cm³
        vol kubus II = 2³ = 8 cm³

    b) Lp kubus    = 6s²
        Lp kubus I  =  6.6² = 216 cm²
        Lp kubus II =  6.2² = 24 cm²

    c) L diagonal bidang = s²√2
                  Ldb kubus I = 6²√2 = 36√2 cm²
                L db kubus II = 2²√2 = 4√2 cm²