Cube and Dice Reasoning Questions

1. A cube has six faces numbered 1 to 6. If the sum of numbers on opposite faces is always 7, which number is on the face opposite to the face with number 3?

2. If three dice are rolled simultaneously, what is the probability of getting three different numbers?

3. If a fair six-sided die is rolled 180 times, what is the expected number of times the number 3 will appear?

4. If a dice is rolled once, what is the probability of getting an even number?

5. A cube has a side length of 5 cm. What is the volume of the cube in cubic centimeters?

6. Two standard six-sided dice are rolled. What is the probability that the sum of the two numbers rolled is an even number?

7. A cube has a side length of 11 cm. What is the surface area of the cube in square centimeters?

8. Two standard six-sided dice are rolled. What is the probability that the sum of the two numbers rolled is 12?

9. A cube has a side length of 3 cm. What is the volume of the cube in cubic centimeters?

10. A cube is painted blue on all faces and then cut into 27 smaller cubes of equal size. How many small cubes have exactly two faces painted blue?