Difference between revisions of "2021 Fall AMC 10B Problems/Problem 24"
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| + | ==Problem== | ||
A cube is constructed from <math>4</math> white unit cubes and <math>4</math> black unit cubes. How many different ways are there to construct the <math>2 \times 2 \times 2</math> cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.) | A cube is constructed from <math>4</math> white unit cubes and <math>4</math> black unit cubes. How many different ways are there to construct the <math>2 \times 2 \times 2</math> cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.) | ||
<math>\textbf{(A)}\ 7 \qquad\textbf{(B)}\ 8 \qquad\textbf{(C)}\ 9 \qquad\textbf{(D)}\ | <math>\textbf{(A)}\ 7 \qquad\textbf{(B)}\ 8 \qquad\textbf{(C)}\ 9 \qquad\textbf{(D)}\ | ||
10 \qquad\textbf{(E)}\ 11</math> | 10 \qquad\textbf{(E)}\ 11</math> | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC10 box|year=2021 Fall|ab=B|num-a=25|num-b=23}} | ||
| + | {{MAA Notice}} | ||
Revision as of 02:21, 23 November 2021
Problem
A cube is constructed from 
white unit cubes and black unit cubes. How many different ways are there to construct the 
cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.)
See Also
| 2021 Fall AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
