SOLUTION: Hello, I had some problems deriving a algebraic equation from this word problem... The volume of a rectangular box is 64ft^3. If the width is 3 times longer than the height, an

Question 307047: Hello, I had some problems deriving a algebraic equation from this word problem...
The volume of a rectangular box is 64ft^3. If the width is 3 times longer than the height, and the length is 9 times longer than the height, find the dimensions of the box.
The formula for finding the volume of a retangular box is V=lwh.
I came up with 64=9l3wh, but no luck...and suggestions?
Thanks again, you all rock!
Alex
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "the width is 3 times longer than the height, and the length is 9 times longer than the height", this means that and

Start with the given volume formula.

Plug in (the given volume) and

Multiply

Divide both sides by 27.

Take the cube root of both sides to isolate 'H'

Take the cube root of to get

So the height is ft. Simply plug this value into and to find the width and length respectively. I'll let you do this.
RELATED QUESTIONS
this problem is not from my textbook and i really need help since word problems are not... (answered by ankor@dixie-net.com)

I am really stuck can some please help me with this word problem..Another rectangular... (answered by ankor@dixie-net.com)

An open box is formed from a rectangular piece of cardboard by cutting 2 cm by 2 cm... (answered by checkley77)

I have no clue how to set up this word problem, I think it has to do with factoring, but... (answered by TheProdicalSon)

I need help with this word problem:My online HW is giving me one last try on this... (answered by Alan3354,ankor@dixie-net.com)

Hi, please help me solve this word problem 3" squares are cut from each corner of a... (answered by josmiceli)

Help with this word problem? An open rectangular box is to be made from a piece of... (answered by psbhowmick)

i have algebra with trigononmetry. my book is called Algebra and trigonometry structure... (answered by edjones)

This is a factoring word problem when ou have to use the principle of zero. The question... (answered by jim_thompson5910)