Difference between revisions of "1993 AHSME Problems/Problem 29"

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Which of the following could NOT be the lengths of the external diagonals of a right regular prism [a "box"]? (An <math>\textit{external diagonal}</math> is a diagonal of one of the rectangular faces of the box.)
 
Which of the following could NOT be the lengths of the external diagonals of a right regular prism [a "box"]? (An <math>\textit{external diagonal}</math> is a diagonal of one of the rectangular faces of the box.)
  
<math>\text{(A) }\{4,5,6\}} \quad
+
<math>\text{(A) }\{4,5,6\} \quad
\text{(B) } \{4,5,7\}} \quad
+
\text{(B) } \{4,5,7\} \quad
\text{(C) } \{4,6,7\}} \quad
+
\text{(C) } \{4,6,7\} \quad
\text{(D) } \{5,6,7\}} \quad
+
\text{(D) } \{5,6,7\} \quad
\text{(E) } \{5,7,8\}} </math>
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\text{(E) } \{5,7,8\} </math>
  
 
== Solution ==
 
== Solution ==

Revision as of 06:48, 23 August 2015

Problem

Which of the following could NOT be the lengths of the external diagonals of a right regular prism [a "box"]? (An $\textit{external diagonal}$ is a diagonal of one of the rectangular faces of the box.)

$\text{(A) }\{4,5,6\} \quad \text{(B) } \{4,5,7\}  \quad \text{(C) } \{4,6,7\} \quad \text{(D) } \{5,6,7\} \quad \text{(E) } \{5,7,8\}$

Solution

$\fbox{B}$

See also

1993 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 28
Followed by
Problem 30
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

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