kubus ABCDEFGH panjang rusuk nya 6 cm. tentukan jarak titik B ke CE

Kubus ABCD.EFGH
rusuk = 6 cm

CE = diagonal ruang = 6√3 cm
BE = diagonal sisi = 6√2 cm

Jarak B ke EC = BP
BP adlh tinggi ∆EBC dg alas EG

Lihat ∆EBC
EB × BC = BP × EG
6√2 × 6 = BP × 6√3
BP = 6√2 /√3
BP = 2√6 cm

Jarak B ke EG = BP = 2√6 cm