SOLUTION: A rectangular carton has twice the height one-third the length, and four times the width of a second carton. The ratio of the volume of the first carton to that of the second is?

Algebra ->  Rectangles -> SOLUTION: A rectangular carton has twice the height one-third the length, and four times the width of a second carton. The ratio of the volume of the first carton to that of the second is?       Log On


   



Question 1162186: A rectangular carton has twice the height one-third the length, and four times the width of a second carton. The ratio of the volume of the first carton to that of the second is?
A. 16:3
B. 3:1
C. 8:3
D. 3:8

Answer by MathLover1(20849) About Me  (Show Source):
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the second carton
the height:+h
the length: l
the width: w
the volume of the second carton: V%5B1%5D=lwh
the first carton
the height:+2h
the length: l%2F3
the width:+4w
the volume of the first carton: V%5B2%5D=l%2F3%2A4w%2A2h=8lwh%2F3
The ratio of the volume of the first carton to that of the second is
V%5B2%5D%2FV%5B1%5D=%28%288lwh%29%2F3%29%2F%28lwh%29.........simplify

V%5B2%5D%2FV%5B1%5D=%288cross%28lwh%29%29%2F3%28cross%28lwh%29%29
V%5B2%5D%2FV%5B1%5D=8%2F3

answer: C. 8%3A3