SOLUTION: I am trying to make a rectangular enclosure with an inside volume as close to 5184 cubic inches as possible with a height of 1.4 x width and a depth of .7 x width. I would like to

Algebra ->  Volume -> SOLUTION: I am trying to make a rectangular enclosure with an inside volume as close to 5184 cubic inches as possible with a height of 1.4 x width and a depth of .7 x width. I would like to       Log On


   



Question 175898: I am trying to make a rectangular enclosure with an inside volume as close to 5184 cubic inches as possible with a height of 1.4 x width and a depth of .7 x width. I would like to know what the height, width and depth would be in inches.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The volume,V = depth x width x height
Given:
V+=+5184 in3
Width, w in
Height, h+=+1.4w in
Depth, d+=+.7win
V+=+h%2Ad%2Aw
5184+=+%281.4w%29%2A%28.7w%29%2Aw
5184+=+.98w%5E3
w%5E3+=+5289.796
w+=+17.424 in
The height will be
h+=+1.4w
h+=+1.4%2A17.424
h+=+24.393 in
The depth will be
d+=+.7w
d+=+.7%2A17.424
d+=+12.197 in
check answer:
V+=+h%2Ad%2Aw
5184+=+%2817.424%29%2A%2824.393%29%2A%2812.197%29
5184+=+5183.9
close enough