# Same Height, Same Area, Different Volumes

Two cuboid boxes of integer dimensions both have the same height of $$1$$ cm. and same total surface area of $$166$$ $$cm.^2$$, but the volume difference between these boxes is $$1$$ $$cm.^3$$.

What is the volume of the bigger box in $$cm.^3$$?

Inspired by Number Pyramids

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