Volume of Three Rectangular Prisms

Directions: Using the digits 1 to 9 at most one time each, find the dimensions of three rectangular prisms so that their volumes are as close as possible. Note: diagram may not be drawn to scale.

Hint

All the volumes are under 100 cubic units.
Can you find 3 volumes that are within the range of 50 and 90?
Can you find 3 volumes that are within the range of 60 and 80?
The difference between all 3 volumes is less than 10.

Answer

You can’t get a perfect match, but you can get pretty close, with dimensions of (1,8,9), (2,5,7), (3,4,6)

Source: Daniel Walker

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