Difference between revisions of "2005 AMC 12A Problems/Problem 17"
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== Solution == | == Solution == | ||
| − | It is a [[pyramid]], so <math>\frac{1}{3} \cdot \left(\frac{1}{4}\right) \cdot (1) = \frac {1}{12}</math>. | + | It is a [[pyramid]], so <math>\frac{1}{3} \cdot \left(\frac{1}{4}\right) \cdot (1) = \frac {1}{12} \Rightarrow \boxed{(\mathrm {A})}</math>. |
== See also == | == See also == | ||
Revision as of 11:19, 15 April 2008
Problem
A unit cube is cut twice to form three triangular prisms, two of which are congruent, as shown in Figure 1. The cube is then cut in the same manner along the dashed lines shown in Figure 2. This creates nine pieces. What is the volume of the piece that contains vertex 
?
Solution
It is a pyramid, so 
.
See also
| 2005 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 16 |
Followed by Problem 18 |
| 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 | |
| All AMC 12 Problems and Solutions | |
