The length of a rectangular block of wood is twice its width. The height of the block is 13 inches and the volume of the boxes 2600 cubic inches. What is the width of the block?

Let the width of the block be x inches.

Since the length is twice the width, the length is 2x inches.

The volume of a rectangular block is given by the formula: Volume = length x width x height

So, the volume of the block can be calculated as:

2600 = 2x * x * 13
2600 = 26x^2

Dividing by 26 on both sides, we get:
x^2 = 100

Taking the square root of both sides, we get:
x = 10

Therefore, the width of the block is 10 inches.