Tolong dong no 4 itu..
Matematika
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Tolong dong no 4 itu..
1 Jawaban
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1. Jawaban hendrisyafa
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