1950 AHSME Problems/Problem 21
Problem
The volume of a rectangular solid each of whose side, front, and bottom faces are , , and respectively is:
Solution
If the sidelengths of the cubes are expressed as and then we can write three equations:
The volume is Notice symmetry in the equations. We can find my multiplying all the equations and taking the positive square root.
See Also
1950 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |