A diagonal of a cube measures square root of 750 cm. The diagonal of a face measures square root of 500 cm. In centimeters, what is the length of an edge of the cube? Round the answer to the nearest tenth. ____ centimeters
Accepted Solution
A:
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about diagonal of the cube.