MathDB

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

Problem Statement