You roll a fair six sided die twice. Your score is whichever roll was higher. For example, if you rolled a 4 and then a 3, your score would be 4. What is the probability that your score will be 5?
In hockey, teams play three 20 minute periods. At the end of a hockey game, Team A had 4 goals and Team B had 2 goals. How many different Team A to Team B scores were possible at the end of the first period?
You have a cube that has a side length of 5 cm. You want to cover it completely with cubes that have a side length of 1 cm so that you have a new, larger cube. How many 1 cm cubes will you need?
Solution:
You will need 218 one cm cubes. The side length of the new cube will be 7 cm, so the number of cubes can be found by evaluating 7x7x7-5x5x5=218.
What if the original cube had a side length of 6 cm?