Final answer:
To find the number of possible outcomes when rolling three eight-sided dice, you multiply the number of outcomes of each die together, resulting in 512 total outcomes.
Step-by-step explanation:
To determine how many outcomes are possible when rolling three eight-sided dice, we need to calculate the total number of combinations that can occur. Since each die has eight possible outcomes and the dice are rolled simultaneously, the number of outcomes for each die can be multiplied together to find the total number of outcomes for all three dice.
So, the calculation for the total number of outcomes is as follows:
8 (outcomes for die 1) × 8 (outcomes for die 2) × 8 (outcomes for die 3) = 512 total outcomes.
Therefore, there are 512 different possible outcomes when rolling three eight-sided dice.