Katie B. answered 05/03/17
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We know the formula for area of a rectangle (that is, the lid of the shoebox) is length x width = 84 in2
We also know the volume of a rectangular prism is length x width x height = 546 in3
The only difference in the 2 numbers is the height component.
So, height = (546 / 84) inches = 6.5 inches