Difference between revisions of "1981 AHSME Problems/Problem 9"
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In the adjoining figure, <math>PQ</math> is a diagonal of the cube. If <math>PQ</math> has length <math>a</math>, then the surface area of the cube is | In the adjoining figure, <math>PQ</math> is a diagonal of the cube. If <math>PQ</math> has length <math>a</math>, then the surface area of the cube is | ||
Revision as of 13:40, 28 June 2025
Problem 9
In the adjoining figure, is a diagonal of the cube. If
has length
, then the surface area of the cube is
Solution
Because the space diagonal of a cube with side length is
the side length of the cube in this problem is
The surface area of the cube is therefore
which is answer choice
See also
1981 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.