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Find the demensions of a box whose volume is 360 cm^3

Mathematics
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An open box is formed from a rectangular piece of cardboard whose length is 8 cm more than its width whose sides are 2 cm in length from each corner. Find the dimensions of the box if its volume is 360 cm^3.

Dec 5th, 2014

Assume the length, width, and height of this box is l,w,and H. 

So based on the card board's length is 8 cm more than its width,

I-8=w.      (1)

And is the sides are 2 cm in length  from each corner, h=2

Also, lwh=360.         (2)

Input h=2 into (2), lw=360/2=180.      (3)

Input w=l-8 to (3),

l (l-8)=180

l^2-8l-180=0

(l-18)(l+10)=0

l=18, 

w=l-8=10 

So the dimensions of the box are 18cm, 10cm, 2 cm. 



Dec 5th, 2014

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