A large plywood box has a volume of 1008 ft3. Its length is 16 ft greater than its height, and its width is 9 ft less than its height. What are the dimensions of the box?
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first, define all variables
let L be length
W be width
H be height
since the problem pertains to the volume of a box
the formula for the volume of a box is
V= L W H
at this point, determine the equations of the relations in the word problem
length is 16 ft greater than its height
width is 9 ft less than its height
once you has these
substitute the values into the volume equation, solve for height, then figure out the length and width