Diketahui kubus FANS.CLUB dengan panjang rusuk 6 cm. jarak bidang FLB ke bidang SAU adalah.....
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Kubus
r = 6 cm
Buat segitiga FLB dan SAU
Jarak FLB dan SAU
= 1/3 diagonal ruang CN
= 1/3 r√3
= 2√3 cm
Buktikan :
O tengah FANS
P tengah CLUB
Jarak FLB dan SAU
= jarak FP dan OU
= jarak O ke FP
= FO × OP / FP
= 1/2 r√2 × r / 1/2 r√6
= 1/3 r√3