Question

How many diffrent rectangles can you make with 17 cubes

Answer 1

To find the number of different rectangles that can be made with 17 cubes, we need to understand the concept of a rectangle and how it relates to cubes. There are only 3 different rectangles that can be made with 17 cubes.

Step-by-step explanation:

To find the number of different rectangles that can be made with 17 cubes, we need to understand the concept of a rectangle and how it relates to cubes. A rectangle is a four-sided polygon with opposite sides that are equal and parallel. Each side of a rectangle can be formed by a line segment made up of a certain number of cubes. Therefore, to find the number of different rectangles, we need to determine different combinations of lines made up of cubes that form a rectangle.

Let's consider the possible combinations of lines:

1. A rectangle with sides of length 1 and 17. This is the only possible combination because 17 is a prime number, and there are no other factors of 17.
2. A rectangle with sides of length 2 and 8.
3. A rectangle with sides of length 3 and 5.

Therefore, there are only 3 different rectangles that can be made with 17 cubes.