sebuah kubus rusuk s diperkecil sedemikian sehinga menjadi kubus dengan rusuk 1/3s jika panjang diogonal ruang kubus setelah diperkecil 6/3 cm tentukan panjang rusuk kubus mula-mula
Diketahui : r1 = s cm
: r2 = 1/3s cm
: d2 = 6/3 cm = 2 cm
: d1 =?
Ditanyakan : r = ?
Jawab : d1 r1
__ : __
d2 r2
: d1 s
___ : ___
2cm 1/3s
: 1/3 d1 = 2 cm
: d1 = 2 cm : 1/3
: d1 = 2 cm x 3
: d1 = 6 cm.
: r1 d1
__ : __
r2 d2
: s cm : 6 cm
______ ____
1/3 s cm 2 cm
: 2 s cm = 2 s cm
: s = 2 s : 2
: s = 1 cm.
: r1 = s
: r1 = 1 cm.
Jadi : Panjang rusuk kubus mula-mula adalah 1 cm.
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