Difference between revisions of "1951 AHSME Problems/Problem 6"
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== Solution == | == Solution == | ||
| − | {{ | + | Let the length of the edges of this box have lengths <math>a</math>, <math>b</math>, and <math>c</math>. We're given <math>ab</math>, <math>bc</math>, and <math>ca</math>. The product of these values is <math>a^2b^2c^2</math>, which is the square of the volume of the box. <math>\boxed{\textbf{(D)}}</math> |
== See Also == | == See Also == | ||
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[[Category:Introductory Geometry Problems]] | [[Category:Introductory Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 11:20, 5 July 2013
Problem
The bottom, side, and front areas of a rectangular box are known. The product of these areas is equal to:
Solution
Let the length of the edges of this box have lengths 
, 
, and 
. We're given 
, 
, and 
. The product of these values is 
, which is the square of the volume of the box. 
See Also
| 1951 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
