2016 AMC 12B Problems/Problem 23: Difference between revisions
Created page with "=Problem= What is the volume of the region in three-dimensional space defined by the inequalities <math>|x|+|y|+|z|\le1</math> and <math>|x|+|y|+|z-1|\le1</math> <math>\text..." |
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<math>\textbf{(A)}\ \frac{1}{6}\qquad\textbf{(B)}\ \frac{1}{4}\qquad\textbf{(C)}\ \frac{1}{3}\qquad\textbf{(D)}\ \frac{1}{2}\qquad\textbf{(E)}\ 1</math> | <math>\textbf{(A)}\ \frac{1}{6}\qquad\textbf{(B)}\ \frac{1}{4}\qquad\textbf{(C)}\ \frac{1}{3}\qquad\textbf{(D)}\ \frac{1}{2}\qquad\textbf{(E)}\ 1</math> | ||
=Solution= | |||
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==See Also== | |||
{{AMC12 box|year=2016|ab=B|num-b=22|num-a=24}} | |||
{{MAA Notice}} | |||
Revision as of 17:05, 21 February 2016
Problem
What is the volume of the region in three-dimensional space defined by the inequalities 
and 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2016 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 22 |
Followed by Problem 24 |
| 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 | |
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