1. A cube has a diagonal length of √75 inches. What is the surface area of this cube?

2. A wooden cube with sides of 3 inches is painted red and then cut into 1-inch cubes. How many of the 1-inch cubes will have exactly two red faces?

3. If a fair six-sided die is rolled 60 times, what is the expected number of times the number 4 will appear?

4. A cube is painted red on all faces. It is then cut into 64 smaller cubes of equal size. How many small cubes have exactly one face painted red?

5. A cube is painted red on all its faces and then cut into 27 smaller cubes of equal size. How many smaller cubes have exactly one red face?

6. A cube has a side length of 16 cm. What is the volume of the cube in cubic centimeters?

7. 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?

8. If two dice are rolled, what is the probability of getting a product of 12?

9. A standard six-sided die is rolled. What is the probability of rolling a number that is a factor of 12?

10. A cube has a surface area of 150 square centimeters. What is its volume?