SOLUTION: three faces of a box have a common vertex and their combined area is 20cm squared. What is the total surface area of the box? thank you.

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Question 141510: three faces of a box have a common vertex and their combined area is 20cm squared. What is the total surface area of the box?
thank you.
Answer by solver91311(24713) About Me  (Show Source):
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Presuming it is a rectangular box, then three faces with a common vertex must have half the surface area of the entire box. That's because a rectangular box could have 2 each of three differently dimensioned rectangles, but in order for three of the sides to have a common vertex, you would have to have one of each of the differently dimensioned rectangles, and the missing pieces would be exactly the same as to size and shape.