2008 iTest Problems/Problem 38
Problem
The volume of a certain rectangular solid is , its total surface area is , and its three dimensions are in geometric progression. Find the sum of the lengths in cm of all the edges of this solid.
Solution
Let the three side lengths be , , and . Because the volume of the solid is , The surface area of the solid is , so Note that the sum of the side lengths of the cube is and that the equation above has a similar form. The sum of all the edges of the cube is centimeters.
See Also
2008 iTest (Problems) | ||
Preceded by: Problem 37 |
Followed by: Problem 39 | |
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