The volume of a rectangular prism is 2058 cubic cm the length of the prism is 3 times the width the height is twice the width find the width of the prism?

Let the length be 3x, the height be 2x and the width be x:

length*height*width = volume

3x*2x*x = 2058 cubic cm

6x3 = 2058

Divide both sides by 6:

x3 = 343

Cube root both sides:

x = 7 cm

Check: 21*14*7 = 2058