You have 24 cotton balls and 36 toothpicks. you use all of the materials to make cubes using the cotton balls as vertices and the toothpicks as edges. How many cubes do you make?

Answer 1

To form a cube, each cube requires 8 vertices (cotton balls) and 12 edges (toothpicks).

Therefore, if you have 24 cotton balls, you can form a maximum of 24/8 = 3 cubes. Additionally, you need 12 edges to form each cube, which would require a total of 3 x 12 = 36 toothpicks.

Since you have 36 toothpicks, you have exactly enough materials to form 3 cubes.