The dimensions are $8,10,13$ inches
Work Step by Step
The volume $V=x(x+2)(2x-3)=1040\\\Leftrightarrow 2x^3+x^2-6x=1040\\\Leftrightarrow (x-8)(2x^2+17x+130)=0\\ \rightarrow x=8 \lor x=10 \lor x=13$ The dimensions are $8,10,13$ inches.
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