Question

Bantu kak Matematika
Kelas : 8 smp

Answer 1

Verified answer

Kubus ABCD.EFGH

BE = √48 cm
rusuk = a

BE = a√2 = √48
a = √48/√2
a = √(48/2)
a = √24 cm
a = √4 . √6
a = 2√6 cm

AB = a = 2√6 cm

HB = diagonal ruang = a√3
HB = 2√6 × √3
HB = 2 . √2 . √3 . √3
HB = 2 . 3√2
HB = 6√2 cm

EG = BE = √48 = √16 . √3 = 4√3 cm
EP = 1/2 . EG
EP = 1/2 . 4√3
EP = 2√3 cm

AP = √(AE² + EP²)
AP = √((2√6)² + (2√3)²)
AP = √(24 + 12)
AP = √36
AP = 6 cm