exam Maths Puzzle Numerical Ability

for a group of boxes all of the same girth (2x height + 2x width), the volume V varies directly as the length L.
If one of the boxes has a volume of 288 cu. in and length of 12 in., what is the constant of proportionality for the group of boxes?

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exam Other Question

In a right triangle, the shorter leg is 6 less than the longer leg. The hypotenuse is 6 less than twice the shorter leg. Set up a quadratic equation and use it to determine the len Ed and Dave are going to divide a case prize of $14,000 in a ratio of 2 to 5. How much will Dave receive?

I came up with 8,000. I am not sure this is correct. Could you verify this for me? Thanks.