SOLUTION: The length of a rectangular box is 2 times its width, and its height is 4 in more than its width. The volume of the box is 68 in^3. Find the width of the box. Round your answer to

Algebra ->  Length-and-distance -> SOLUTION: The length of a rectangular box is 2 times its width, and its height is 4 in more than its width. The volume of the box is 68 in^3. Find the width of the box. Round your answer to       Log On


   

Question 770595: The length of a rectangular box is 2 times its width, and its height is 4 in more than its width. The volume of the box is 68 in^3. Find the width of the box. Round your answer to two decimal places.
Thank you for your help!
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, y, z be length, width, height, and use basic fact volume is xyz cubic inches.

Translate the description into symbols, using w as the chief variable.
x=2y; z=4%2By

Volume, xyz=68
highlight%28%282y%29y%28y%2B4%29=68%29
You take it from here.