The object first falls 27m. On each rebound, it rises and falls two-thirds of the previous distance:

1. Fall = 27m
2. First rebound = $2/3 times 27 = 18m$(up and down = $18 + 18 = 36m$)
3. Second rebound = $2/3 times 18 = 12m$ (up and down = $12 + 12 = 24m$)
4. Total distance = $27 + 36 + 24 = 105m$.