Problems(1)
A shipping company charges .30l+.40w+.50h dollars to process a right rectangular prism-shaped box with dimensions l,w,h in inches. The customers themselves are allowed to label the three dimensions of their box with l,w,h for the purpose of calculating the processing fee. A customer finds that there are two different ways to label the dimensions of their box B to get a fee of $8.10, and two different ways to label B to get a fee of $8.70. None of the faces of B are squares. Find the surface area of B, in square inches.Proposed by Justin Hsieh algebranumber theory