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Omni-MATH / A cube has an edge length of 30. A rectangular solid has edge lengths 20, 30,…

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problem

A cube has an edge length of 30. A rectangular solid has edge lengths 20, 30, and LL. If the cube and the rectangular solid have equal surface areas, what is the value of LL?
Plain-text mathematical notation (without MathML)
A cube has an edge length of 30. A rectangular solid has edge lengths 20, 30, and L. If the cube and the rectangular solid have equal surface areas, what is the value of L?
Original LaTeX notation
A cube has an edge length of 30. A rectangular solid has edge lengths 20, 30, and $L$. If the cube and the rectangular solid have equal surface areas, what is the value of $L$?

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