Pembahasan :

Kubus dengan rusuk s cm maka :

Volume kubus : V = s³

Diketahui : volume kubus

Ditanyakan : rusuk kubus ... ?

Jawab :

dengan menggunakan faktorisasi prima (pohon faktornya bisa dilihat pada lampiran), diperoleh :

(1) V = 729 cm³

=> s³ = 729

=> s³ = 3⁶

=> s³ = (3²)³

=> s³ = 9³

=> s = 9

Jadi rusuk kubus = 9 cm

(2) V = 1.331 cm³

=> s³ = 1.331

=> s³ = 11³

=> s = 11

Jadi rusuk kubus = 11 cm

(3) V = 1.728 m³

=> s³ = 1.728

=> s³ = 2⁶ × 3³

=> s³ = (2²)³ × 3³

=> s³ = 4³ × 3³

=> s³ = (4 × 3)³

=> s³ = 12³

=> s = 12

Jadi rusuk kubus = 12 m

(4) V = 2.744 dm³

=> s³ = 2³ × 7³

=> s³ = (2 × 7)³

=> s³ = 14³

=> s = 14

Jadi rusuk kubus = 14 dm

(5) V = 4.096 cm³

=> s³ = 4.096

=> s³ = 2¹²

=> s³ = (2⁴)³

=> s³ = 16³

=> s = 16

Jadi rusuk kubus = 16 cm

(6) V = 6.859 mm³

=> s³ = 6.859

=> s³ = 19³

=> s = 19

Jadi rusuk kubus = 19 mm

(7) V = 8.000 dm³

=> s³ = 8.000

=> s³ = 2⁶ × 5³

=> s³ = (2²)³ × 5³

=> s³ = 4³ × 5³

=> s³ = (4 × 5)³

=> s³ = 20³

=> s = 20

Jadi rusuk kubus = 20 dm

(8) V = 9.261 m³

=> s³ = 9.261

=> s³ = 3³ × 7³

=> s³ = (3 × 7)³

=> s³ = 21³

=> s = 21

Jadi rusuk kubus = 21 m

(9) V = 15.625 dam³

=> s³ = 15.625

=> s³ = 5⁶

=> s³ = (5²)³

=> s³ = 25³

=> s = 25

Jadi rusuk kubus = 25 dam

(10) V = 32.768 m³

=> s³ = 32.768

=> s³ = 2¹⁵

=> s³ = (2⁵)³

=> s³ = 32³

=> s = 32

Jadi rusuk kubus = 32 m